Question

Помогите пожалуйста!!

Answer 1

Ответ:

1.)

$y = 4 {x}^{2} + \sin(x) \\ y = \frac{d}{dx} (4 {x}^{2} + \sin(x) ) \\ y = \frac{d}{dx} (4 {x}^{2} ) + \frac{d}{dx} ( \sin(x) ) \\ y = 4 \times 2x + \cos(x) \\ y = 8x + \cos(x)$

2.)

$y = x + \cos(7x) \\ y = \frac{d}{dx} (x + \cos(7x) ) \\ y = \frac{d}{dx} (x) + \frac{d}{dx} ( \cos(7x) ) \\ y = 1 - \sin(7x) \times 7 \\ y = 1 - 7 \sin(7x)$

3.)

$y = {e}^{x} + \sin(2x) \\ y = \frac{d}{dx} ( {e}^{x} + \sin(2x) ) \\ y = \frac{d}{dx} ( {e}^{x} ) + \frac{d}{dx} ( \sin(2x) ) \\ y = {e}^{x} \cos(2x) \times 2 \\ y = {e}^{x} + 2 \cos(2x)$