Question

БУДУ ОЧЕНЬ БЛАГОДАРЕН!)
Вычисление Производной Функции.

Answer 1

Ответ:

1

$y '= 7 {e}^{x}$

2

$y' = ln( \sqrt{2} ) \times {( \sqrt{2} )}^{x} = \frac{1}{2} ln(2) \times {( \sqrt{2} )}^{x}$

3

$y' = \frac{8}{x}$

4

$y' = \frac{1}{ ln(2) \times x}$

5

$y' = 2.5 {x}^{1.5} = 2.5x \sqrt{x}$

6

$y' = ln(3) \times {3}^{x}$

7

$y '= ln(4) \times {4}^{x} - 1$

8

$y' = - \frac{1}{x}$

9

$y' = \frac{2}{ ln(10) \times x}$

10

$y'=-0,5x^{-1,5}$

11

$y'=x\times{\pi}^{x-1}$

12

$y'=ln(0,5)\times{0,5}^x$

13

$y'=\frac{1}{ln(10)\times x}$

14

$y'=-\frac{1}{ln(10)\times x}$

15

$y'=3,4x^{0,7}$

16

$y'=-ex^{e-1}$

17

$y'=(x^2(x^3-5))'=(x^5-5x^2)'=\\=5x^4-10x$

18

$y'=((x-2)(x+3))'=(x^2+x-6)'=2x+1$

19

$y'=(3x^2(5-x^3))'=(15x^2-3x^6)'=\\=30x-18x^5$

20

$y'=5(x+3)=5x+15$

21

$y'=((x^4-2)x^3)'=(x^7-2x^3)'=7x^6-6x^2$

22

$y'=((x-3)(x^2+2x-1))'=(x^3+2x^2-x-3x^2-6x+3)'=\\=(x^3-x^2-7x+3)'=3x^2-2x-7$

23

$y'=(x^3(3x^2-1))'=(3x^5-x^3)'=\\=15x^4-3x^2$

24

$y'=((x-3)(x^2-2x+4))'=(x^3-2x^2+4x-3x^2+6x-12)'=\\=(x^3-5x^2+10x-12)'=3x^2-10x+10$

25

$y'=(-7x(x^2-4))'=(-7x^3+14x)'=-21x^2+14$

26

$y'=2(2x-7)\times2=8x-28$