Question

ПОМОГИТЕ РЕШИТЬ, СРОЧНО! 35 БАЛЛОВ

Answer 1

Ответ:

1.

$y '= 0$

2

$y' = 0 - 5 {x}^{4} = - 5 {x}^{4}$

3

$y '= 2$

4

$y '= 2 \times 2x + 5 = 4x + 5$

5

$f'(x) = 4x - 4 \times \frac{1}{2} {x}^{ - \frac{1}{2} } = 4x - \frac{2}{ \sqrt{x} } \\ f'(4) = 16 - \frac{2}{2} = 15$

6

$f'(x) = 3 {x}^{2} - 6x \\ f'(2) = 3 \times 4 - 6 \times 2 = 12 - 12 = 0$

7

$f'(x) = \frac{5}{3} \times 3 {x}^{2} - \frac{3}{2} \times 2x + 0 = \\ = 5 {x}^{2} - 3x \\ f'(2) = 5 \times 4 - 3 \times 2 = 20 - 6 = 14$

8

$f'(x) = 6x + 5 {x}^{ - 2} + \frac{2}{ \sqrt{x} } = 6x + \frac{5}{ {x}^{2} } + \frac{2}{ \sqrt{x} } \\ f'(1) = 6 + 5 + 2 = 13$

9

$f'(x) = 2 {x}^{4} - {x}^{2} + 2 \\ f'(1) = 2 - 1 + 2 = 3$

10

$y '= 3m {x}^{2} - 2kx$