Question

√sinх знайдіть похідну

Answer 1

√sin(x)=sin(x)^1/2
sin(x)^1/2'=1/2sin(x)^-1/2•cos(x)=cos(x)/2•√sinx

Answer 2

$\sqrt{sin(x)} = sin(x)^ \frac{1}{2} \\sin(x)^ \frac{1}{2}' = \frac{1}{2} sin(x)^\frac{-1}{2} *cos(x)= \frac{cos(x)}{2* \sqrt{sin(x)} }$