1
00:00:00,534 --> 00:00:03,773
Aşağıdakı tənlikdə diferensiallanan

2
00:00:03,773 --> 00:00:05,965
x və y funskiyaları verilib.

3
00:00:05,965 --> 00:00:08,715
sinus(x) üstəgəl kosinus(y)

4
00:00:09,578 --> 00:00:12,479
kök altında 2-yə bərabərdir.

5
00:00:12,479 --> 00:00:15,128
Həmçinin bizə x-in t-yə görə törəməsinin

6
00:00:15,128 --> 00:00:17,897
5 olduğu verilib.

7
00:00:17,897 --> 00:00:21,530
y pi bölünsün 4-ə bərabər, x 0-dan böyük

8
00:00:21,530 --> 00:00:25,145
və pi bölünsün 2-dən kiçik olduqda,
bizdən y-in t-yə görə

9
00:00:25,145 --> 00:00:29,789
törəməsi soruşulur.

10
00:00:29,789 --> 00:00:32,365
Bizə x-in t-yə görə törəməsi verilib və

11
00:00:32,365 --> 00:00:34,685
y-in t-yə əsasən törəməsi

12
00:00:34,685 --> 00:00:37,134
istənilir,

13
00:00:37,134 --> 00:00:41,301
x və y t-dən asılı funksiyalardır.

14
00:00:42,403 --> 00:00:45,751
Bu tənliyi belə də yaza bilərsiniz.

15
00:00:45,751 --> 00:00:48,584
Belə ki, sinus(x(t))

16
00:00:50,683 --> 00:00:53,040
üstəgəl

17
00:00:53,040 --> 00:00:53,957
kosinus(y(t)),

18
00:00:55,815 --> 00:00:58,398
o da bərabərdir

19
00:00:59,499 --> 00:01:02,082
kök altında 2-yə.

20
00:01:02,920 --> 00:01:04,542
Bir az qarışdıra bilərsiniz,

21
00:01:04,542 --> 00:01:06,376
siz x-i 3-cü dəyişən kimi və ya

22
00:01:06,376 --> 00:01:08,524
y-i, x-dən fərqli funksiyadan
asılı olmasını

23
00:01:08,524 --> 00:01:10,068
görməmisiniz.

24
00:01:10,068 --> 00:01:11,740
Amma burada x və y dəyişənlərdir.

25
00:01:11,740 --> 00:01:15,419
x(t) və y(t) əvəzinə burada

26
00:01:15,419 --> 00:01:17,605
f(t) və ya g(t) də yazıla bilər,

27
00:01:17,605 --> 00:01:19,503
bu sizə bir az daha təbii
görünə bilər.

28
00:01:19,503 --> 00:01:23,170
dy böl dt-ni tapmaq üçün

29
00:01:24,186 --> 00:01:26,264
bərabərliyin hər iki tərəfinin t-yə
əsasən

30
00:01:26,264 --> 00:01:29,952
törəməsini almalıyıq.

31
00:01:29,952 --> 00:01:31,357
Gəlin edək.

32
00:01:31,357 --> 00:01:33,303
Solda bunu edəcəyik,

33
00:01:33,303 --> 00:01:36,541
yəni t-yə görə

34
00:01:36,541 --> 00:01:38,035
törəməsini alırıq.

35
00:01:38,035 --> 00:01:41,001
t-yə əsasən hər tərəfin törəməsini alırıq.

36
00:01:41,001 --> 00:01:42,338
Daha sonra sağ tərəfin də

37
00:01:42,338 --> 00:01:46,547
törəməsini alırıq.

38
00:01:46,547 --> 00:01:49,764
Gəlin bunlar haqqında düşünək.

39
00:01:49,764 --> 00:01:51,444
Bu nədir.

40
00:01:51,444 --> 00:01:53,114
Başqa rənglə edək.

41
00:01:53,114 --> 00:01:56,622
Burada mavi rənglə göstərdiyim hissəni

42
00:01:56,622 --> 00:01:58,245
necə yaza bilərik?

43
00:01:58,245 --> 00:02:00,405
t-yə görə törəməsini tapırıq,

44
00:02:00,405 --> 00:02:04,918
Sinus funksiyamız var və o da
t-dən asılıdır.

45
00:02:04,918 --> 00:02:07,768


46
00:02:07,768 --> 00:02:11,935


47
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48
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49
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50
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51
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52
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53
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54
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55
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56
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57
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58
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59
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60
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61
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62
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64
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65
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66
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67
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68
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69
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70
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71
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72
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73
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74
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75
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76
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77
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78
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79
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80
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81
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84
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85
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86
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87
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88
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89
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90
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91
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92
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93
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94
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95
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96
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97
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98
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99
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100
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101
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102
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103
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104
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105
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106
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107
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108
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109
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110
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111
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112
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113
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114
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115
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116
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117
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118
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119
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120
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121
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122
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123
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124
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125
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126
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127
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128
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129
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130
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131
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132
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133
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134
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135
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136
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137
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138
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139
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140
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141
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142
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143
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144
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145
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146
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147
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148
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150
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151
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153
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154
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155
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156
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157
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158
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159
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160
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161
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162
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163
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164
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165
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166
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167
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168
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169
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170
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