Question

How do you find the derivative of `y = arcsin(x^5)`?

Answer 1

`dy/dx=(5x^4)/(sqrt(1-x^(10)))`

Explanation:

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

`•color(white)(x)d/dx(arcsin(f(x)))=(f'(x))/(sqrt(1-(f(x))^2))`

`y=arcsin(x^5)`

`rArrdy/dx=(5x^4)/(sqrt(1-x^(10))`