moaz ayman
  • 3 months ago
Transcript
00:00:00This is the second part of our discussion, where we divided the discussion into two parts.
00:00:19The first part is about complaints, and the second part is about the state of affairs.
00:00:24Let's first look at the state of affairs.
00:00:30When we have the state of affairs in our country,
00:00:35for example, this is the center of Sinai, and this is the center of Sadat.
00:00:39So, we took the way of drawing the state of affairs.
00:00:43For example, we could draw a curve like this.
00:00:46We drew a curve, and what happens to this curve?
00:00:48It changes, a curve changes.
00:00:50Any curve is a curve that changes.
00:00:52What are the changes that occur in a curve?
00:00:54When we look at this curve,
00:00:56from the point of view of the increase and decrease,
00:00:58we see that the curve here is increasing,
00:01:00and here it is decreasing.
00:01:02So, we call this increasing,
00:01:05and this decreasing,
00:01:07and this increasing.
00:01:09What else?
00:01:10The point at the top has changed in the curve,
00:01:14not that the curve was increasing, but now it is decreasing.
00:01:17So, this point has changed in the curve.
00:01:20The point that has changed in the curve,
00:01:22we will call it a burning point.
00:01:24What will we call it, guys?
00:01:26A burning point.
00:01:27The point at the bottom has also changed.
00:01:31So, what will we call it?
00:01:32A burning point.
00:01:33So, we have a new name for it,
00:01:35the burning point.
00:01:36What is the burning point?
00:01:37The point that changes in the curve.
00:01:44So, we will call it a burning point.
00:01:46What else?
00:01:47Look closely.
00:01:48This burning point has a specific type.
00:01:51The point that occurs between increasing and decreasing,
00:01:53we will call it a local maximum point.
00:01:56What is the point at the top called?
00:01:58A local maximum point.
00:01:59What is the point that occurs between increasing and decreasing,
00:02:01we will call it?
00:02:02A local minimum point.
00:02:04So, we have a local maximum and a local minimum.
00:02:06They are originally called a burning point,
00:02:09but the burning point has a type.
00:02:11What is the burning point?
00:02:12A type.
00:02:13So, this burning point has a local maximum,
00:02:15and the burning point has a local minimum.
00:02:17So, the picture that we wrote in front of you on the board
00:02:20is called the search for the curve.
00:02:26So, the search for the curve depends on what, guys?
00:02:29The changes that occur in the curve.
00:02:31So, when I tell you that your course title speaks about what?
00:02:34It speaks about the search for the curve.
00:02:40So, what are we looking for in the curve?
00:02:44The curves that appear in front of you.
00:02:46So, in order to read it figuratively,
00:02:48as it is clear in front of you exactly,
00:02:51between the first maximum point and the local minimum point,
00:02:54and increasing and decreasing, and so on.
00:02:56But we, guys, will not study it figuratively at all.
00:02:59We will not study it figuratively.
00:03:01If they put it in front of us and we study it,
00:03:03it will be easy at all.
00:03:04Nothing will happen.
00:03:05It will be easy at all.
00:03:06Why?
00:03:07Because in front of you is a curve,
00:03:08and the curve goes up or down like this,
00:03:09that is, it increases and decreases like this.
00:03:10No, we will not study it like this.
00:03:11We will study it forcibly.
00:03:12So, we will study it like this.
00:03:13I was explaining it to you figuratively,
00:03:15and let me tell you what we will study in this course,
00:03:17which is, first of all,
00:03:19we will study the curve point.
00:03:21How do we determine the curve point, guys?
00:03:25The curve point can be determined by
00:03:27the curve that makes your condition equal to zero.
00:03:36That is, in order to know the curve point without drawing,
00:03:39you determine it by what?
00:03:40By what?
00:03:41By the things that make the condition equal to zero.
00:03:43So, it means that I will get a condition that is equal to zero.
00:03:46Is there anything else?
00:03:47Yes.
00:03:48And also the values that make a condition unknown to me.
00:03:52So, what are the things that bring me the curve point?
00:03:55These are the things that bring me the curve point, guys.
00:03:58What else?
00:03:59What else will I study?
00:04:00We want to study the increase and decrease.
00:04:02We will study the increase and decrease of the curve.
00:04:09How do I study the increase and decrease of the curve?
00:04:12In order to know the increase and decrease of the curve,
00:04:14and the drawing that is not in front of us,
00:04:16how do I know it?
00:04:17We will look for the sign of a condition.
00:04:20We will look for the sign of a condition.
00:04:24We will look for the sign of a condition.
00:04:27How do we look for the sign of a condition?
00:04:29We took it in the second year,
00:04:30and we will go back to it now,
00:04:32and it is also easier.
00:04:33So, how did we look for it?
00:04:35We will use the values of the scene,
00:04:38for example, let it be a lamp.
00:04:41And we will look for the sign of a condition.
00:04:43We will look for the numbers before the lamp,
00:04:44and after the lamp,
00:04:45and we will see if there is an increase or a decrease.
00:04:46And if we assume that there is an increase,
00:04:47and we assume that there is a decrease,
00:04:49the increase represents the increase,
00:04:50so we will make an arrow that goes up,
00:04:52which means an increase.
00:04:53And the decrease represents the decrease,
00:04:55so we will make an arrow that goes down,
00:04:56which means a decrease.
00:04:57So, what are the signs of the increase and decrease?
00:05:01The sign of a condition and the sign of a decrease.
00:05:03What else?
00:05:04What else?
00:05:05I will also teach you the third one,
00:05:08which is the increase and decrease.
00:05:10I will teach it to you through Mim,
00:05:11to see the third subject.
00:05:13The third subject we have,
00:05:15is that we will study the points,
00:05:20the increase and decrease,
00:05:23the local area,
00:05:25and in the next class,
00:05:26you will understand what this local area means.
00:05:28So, the definition of the increase and decrease,
00:05:31how do I know that the increase and decrease is a local area?
00:05:35Also, through the search of the condition of the country,
00:05:37we search for the sign of such a condition.
00:05:41We take such a condition,
00:05:42and we search for its sign.
00:05:43And if we search for it in the same way,
00:05:45we also get the number here,
00:05:47and we take its numbers,
00:05:48as it turns out,
00:05:49we are showing here an increase and decrease,
00:05:50anything we will show it temporarily,
00:05:52and we will show it here in the example,
00:05:54I will show it here as an increase and decrease,
00:05:55this means a decrease,
00:05:56so I will make a line,
00:05:57which represents the decrease,
00:06:00and this is an increase,
00:06:01I will make a line,
00:06:02which represents the increase,
00:06:03and this is the highest,
00:06:04so this form gives us a value,
00:06:06which represents a small value,
00:06:08so where is the small value,
00:06:10how do I know it?
00:06:11Look, dear,
00:06:12the value or the point,
00:06:13which is obtained between the increase and decrease,
00:06:14has a small value,
00:06:15which is obtained between the increase and decrease,
00:06:17has a great value,
00:06:18so the great value,
00:06:19is between the increase and decrease,
00:06:21and the small value,
00:06:22is the increase and decrease.
00:06:23So, to know these things,
00:06:25I came up with a name,
00:06:27and this name is the one,
00:06:28which introduces us to all these things,
00:06:30who are these guys?
00:06:32Satshar,
00:06:33so what is left?
00:06:34Mujtaka,
00:06:35Satshar,
00:06:36so what is left?
00:06:37Mujtaka,
00:06:38so what is your subject?
00:06:39Mujtaka,
00:06:40but you will study certain things on it,
00:06:41you will bring a Mujtaka,
00:06:42and you will study certain things on it,
00:06:44let's see these things in an example,
00:06:45so in the first example in your book,
00:06:47it is written,
00:06:48find,
00:06:49or search,
00:06:50find the point of the increase,
00:06:52find the point of the decrease,
00:06:54and determine the periods of increase and decrease,
00:06:56and also,
00:06:57find the point of the increase and decrease,
00:06:59and the period of decrease and decrease,
00:07:00so these are the three points,
00:07:01which we have explained,
00:07:02let's see what we have learned from them,
00:07:04so for example,
00:07:05in the first question,
00:07:06what is the equation of the sum?
00:07:08sin square minus 4,
00:07:09sin plus 7,
00:07:10this is the first question,
00:07:12the steps to solve it,
00:07:13complete it,
00:07:14the first step,
00:07:15this is Satshar,
00:07:16so bring Satshar,
00:07:17yes,
00:07:18Sat,
00:07:19your second condition,
00:07:202,
00:07:21sin minus 4,
00:07:222, sin minus 2,
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00:18:134,
00:18:144,
00:18:154,
00:18:164,
00:18:174,
00:18:184,
00:18:194,
00:18:204,
00:18:214,
00:18:224,
00:18:234,
00:18:244,
00:18:254,
00:18:264,
00:18:274,
00:18:284,
00:18:294,
00:18:304,
00:18:314,
00:18:324,
00:18:334,
00:18:344,
00:18:354,
00:18:364,
00:18:374,
00:18:384,
00:18:394,
00:18:404,
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00:18:444,
00:18:454,
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00:18:474,
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00:18:494,
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00:18:524,
00:18:534,
00:18:544,
00:18:554,
00:18:574,
00:18:584,
00:18:594,
00:19:004,
00:19:014,
00:19:024,
00:19:034,
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00:19:054,
00:19:064,
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00:19:094,
00:19:104,
00:19:114,
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00:19:134,
00:19:144,
00:19:154,
00:19:164,
00:19:174,
00:19:184,
00:19:194,
00:19:204,
00:19:214,
00:19:224,
00:19:234,
00:19:244,
00:19:264,
00:19:274,
00:19:284,
00:19:294,
00:19:304,
00:19:314,
00:19:324,
00:19:334,
00:19:344,
00:19:354,
00:19:364,
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00:19:384,
00:19:394,
00:19:404,
00:19:414,
00:19:424,
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00:19:444,
00:19:454,
00:19:464,
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00:19:524,
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00:19:554,
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00:20:014,
00:20:024,
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00:20:114,
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00:20:134,
00:20:144,
00:20:154,
00:20:164,
00:20:174,
00:20:184,
00:20:194,
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00:20:214,
00:20:224,
00:20:244,
00:20:254,
00:20:264,
00:20:274,
00:20:284,
00:20:294,
00:20:304,
00:20:314,
00:20:324,
00:20:334,
00:20:344,
00:20:354,
00:20:364,
00:20:374,
00:20:384,
00:20:394,
00:20:404,
00:20:414,
00:20:424,
00:20:434,
00:20:444,
00:20:454,
00:20:464,
00:20:474,
00:20:484,
00:20:494,
00:20:504,
00:20:514,
00:20:534,
00:20:544,
00:20:554,
00:20:564,
00:20:574,
00:20:584,
00:20:594,
00:21:004,
00:21:014,
00:21:024,
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00:21:064,
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00:21:094,
00:21:104,
00:21:114,
00:21:124,
00:21:134,
00:21:144,
00:21:154,
00:21:164,
00:21:174,
00:21:184,
00:21:194,
00:21:204,
00:21:224,
00:21:234,
00:21:244,
00:21:254,
00:21:264,
00:21:274,
00:21:284,
00:21:294,
00:21:304,
00:21:314,
00:21:324,
00:21:334,
00:21:344,
00:21:354,
00:21:364,
00:21:374,
00:21:384,
00:21:394,
00:21:404,
00:21:414,
00:21:424,
00:21:434,
00:21:444,
00:21:454,
00:21:464,
00:21:474,
00:21:484,
00:21:494,
00:21:514,
00:21:524,
00:21:534,
00:21:544,
00:21:554,
00:21:564,
00:21:574,
00:21:584,
00:21:594,
00:22:004,
00:22:014,
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00:22:144,
00:22:154,
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00:22:184,
00:22:204,
00:22:214,
00:22:224,
00:22:234,
00:22:244,
00:22:254,
00:22:264,
00:22:274,
00:22:284,
00:22:294,
00:22:304,
00:22:314,
00:22:324,
00:22:334,
00:22:344,
00:22:354,
00:22:364,
00:22:374,
00:22:384,
00:22:394,
00:22:404,
00:22:414,
00:22:424,
00:22:434,
00:22:444,
00:22:454,
00:22:464,
00:22:474,
00:22:494,
00:22:504,
00:22:514,
00:22:524,
00:22:534,
00:22:544,
00:22:554,
00:22:564,
00:22:574,
00:22:584,
00:22:594,
00:23:004,
00:23:014,
00:23:024,
00:23:034,
00:23:044,
00:23:054,
00:23:064,
00:23:074,
00:23:084,
00:23:094,
00:23:104,
00:23:114,
00:23:124,
00:23:134,
00:23:144,
00:23:154,
00:23:164,
00:23:184,
00:23:194,
00:23:204,
00:23:214,
00:23:224,
00:23:234,
00:23:244,
00:23:254,
00:23:264,
00:23:274,
00:23:284,
00:23:294,
00:23:304,
00:23:314,
00:23:324,
00:23:334,
00:23:344,
00:23:354,
00:23:364,
00:23:374,
00:23:384,
00:23:394,
00:23:404,
00:23:414,
00:23:424,
00:23:434,
00:23:444,
00:23:454,
00:23:464,
00:23:474,
00:23:484,
00:23:494,
00:23:504,
00:23:514,
00:23:524,
00:23:534,
00:23:544,
00:23:554,
00:23:564,
00:23:574,
00:23:584,
00:23:594,
00:24:004,
00:24:014,
00:24:024,
00:24:034,
00:24:044,
00:24:054,
00:24:064,
00:24:074,
00:24:084,
00:24:094,
00:24:104,
00:24:114,
00:24:124,
00:24:134,
00:24:144,
00:24:154,
00:24:164,
00:24:174,
00:24:184,
00:24:194,
00:24:204,
00:24:214,
00:24:224,
00:24:234,
00:24:244,
00:24:254,
00:24:264,
00:24:274,
00:24:284,
00:24:294,
00:24:304,
00:24:314,
00:24:324,
00:24:334,
00:24:344,
00:24:354,
00:24:364,
00:24:374,
00:24:384,
00:24:394,
00:24:404,
00:24:414,
00:24:424,
00:24:434,
00:24:444,
00:24:454,
00:24:464,
00:24:474,
00:24:484,
00:24:494,
00:24:504,
00:24:514,
00:24:524,
00:24:534,
00:24:544,
00:24:554,
00:24:564,
00:24:574,
00:24:584,
00:25:004,
00:25:014,
00:25:024,
00:25:034,
00:25:044,
00:25:054,
00:25:064,
00:25:074,
00:25:084,
00:25:094,
00:25:104,
00:25:114,
00:25:124,
00:25:134,
00:25:144,
00:25:154,
00:25:164,
00:25:174,
00:25:184,
00:25:194,
00:25:204,
00:25:214,
00:25:224,
00:25:234,
00:25:244,
00:25:254,
00:25:264,
00:25:284,
00:25:294,
00:25:304,
00:25:314,
00:25:324,
00:25:334,
00:25:344,
00:25:354,
00:25:364,
00:25:374,
00:25:384,
00:25:394,
00:25:404,
00:25:414,
00:25:424,
00:25:434,
00:25:444,
00:25:454,
00:25:464,
00:25:474,
00:25:484,
00:25:494,
00:25:504,
00:25:514,
00:25:524,
00:25:534,
00:25:544,
00:25:554,
00:25:574,
00:25:584,
00:25:594,
00:26:004,
00:26:014,
00:26:024,
00:26:034,
00:26:044,
00:26:054,
00:26:064,
00:26:074,
00:26:084,
00:26:094,
00:26:104,
00:26:114,
00:26:124,
00:26:134,
00:26:144,
00:26:154,
00:26:164,
00:26:174,
00:26:184,
00:26:194,
00:26:204,
00:26:214,
00:26:224,
00:26:234,
00:26:244,
00:26:264,
00:26:274,
00:26:284,
00:26:294,
00:26:304,
00:26:314,
00:26:324,
00:26:334,
00:26:344,
00:26:354,
00:26:364,
00:26:374,
00:26:384,
00:26:394,
00:26:404,
00:26:414,
00:26:424,
00:26:434,
00:26:444,
00:26:454,
00:26:464,
00:26:474,
00:26:484,
00:26:494,
00:26:504,
00:26:514,
00:26:524,
00:26:534,
00:26:544,
00:26:554,
00:26:564,
00:26:574,
00:26:584,
00:26:594,
00:27:004,
00:27:014,
00:27:024,
00:27:034,
00:27:044,
00:27:054,
00:27:064,
00:27:074,
00:27:084,
00:27:094,
00:27:104.
00:27:11So,
00:27:12the
00:27:13first
00:27:14example
00:27:15is
00:27:16the
00:27:17third
00:27:18example
00:27:19is
00:27:20the
00:27:21fourth
00:27:22example
00:27:23is
00:27:24the
00:27:25fifth
00:27:26example
00:27:27is
00:27:28the
00:27:29sixth
00:27:30example
00:27:31is
00:27:32the
00:27:33seventh
00:27:34example
00:27:35is
00:27:36the
00:27:37eighth
00:27:38example
00:27:39is