Question

Знайти похідну у=х3-5х2

Answer 1

Ответ:

$y = {x}^{3} - 5 {x}^{2}$

$y' = \frac{d}{dx} ( {x}^{3} - 5 {x}^{2} )$

$y' = \frac{d}{dx} ( {x}^{3} ) + \frac{d}{dx} ( - 5 {x}^{2} )$

$y' = 3 {x}^{3 - 1} + - 5 \times \frac{d}{dx} ( {x}^{2} )$

$y' = 3 {x}^{2} - 5 \times 2x$

$y' = 3 {x}^{2} - 10x$