Question

What is the derivative of this function `y=cos^-1(-5x^3)`?

Answer 1

`dy/dx=(15x^2)/(sqrt(1-25x^6))`

Explanation:

`"differentiate using the "color(blue)"chain rule"`

`• d/dx(cos^-1(f(x)))=-1/(sqrt(1-(f(x))^2))xxf'(x)`

`y=cos^-1(-5x^3)`

`rArrdy/dx=-1/(sqrt(1-(-5x^3)^2))xxd/dx(-5x^3)`

`color(white)(rArrdy/dx)=(15x^2)/(sqrt(1-25x^6))`