Question

Найти производные сложных функций 1)y=√0,25-x^2 2) y=√sin x

Answer 1

1)
$y= \sqrt{0.25-x^2} \\ y'= \frac{-2x}{2\sqrt{0.25-x^2}} =- \frac{x}{\sqrt{0.25-x^2}}$

2)
$y= \sqrt{sinx} \\ y'= \frac{cosx}{2 \sqrt{sinx}}$