Question

Помогите найти производную функции
у= х^2/6
у=-2х^-10
у=sin x/3
y= корень из x -16x^2

Answer 1

у=x^2/6=1/6/x^2

y'=(1/6)*2x=x/3

y=-2x^-10

y'=20x^-11

y=sin(x/3)

y'=cos(x/3)*(x/3)'=1/3*cos(x/3)

y=√х-16x^2

y'=1/2√x-16x^2 * (x-16x^2)'=1-32x/2√x-16x^2