Question

How do you differentiate `y=cos^-1(-5x^3)`?

Answer 1

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

Explanation:

The derivative of `cos^-1(u) = -(u^')/sqrt(1-u^2)`

Here the function is `y=cos^-1(-5x^3)`, so `dy/dx = -((-5x^3)^')/sqrt(1-(-5x^3)^2)=(15x^2)/sqrt(1-25x^6)`