Question

3,4,5
Допоможіть будь ласка

Answer 1

3.

$y = {x}^{ - 3 } \\ y' = - 3 {x}^{ - 3 - 1} = - 3 {x}^{ - 4}$

Ответ: г)

4.

$y = 2x - 3 {x}^{2} \\ y' = 2 {x}^{1 - 1} - 3 \times 2 {x}^{ 2- 1} = 2 - 6x \\ y'(1) = 2 - 6 \times 1 = 2 - 6 = - 4$

Ответ: б)

5.

$y = 2 {x}^{2} \times \sin(x) \\ y' = (2 {x}^{2})' \times \sin(x) + ( \sin(x) )' \times 2 {x}^{2} = \\ = 2 \times 2x {}^{2 - 1} \times \sin(x) + \cos(x) \times 2 {x}^{2} = \\ = 4x \times \sin(x) + 2 {x}^{2} \times \cos(x)$