Question

What is the derivative of `5arcsin(x^4)`?

Answer 1

`d/dx[5arcsin(x^4)]=(20x^3)/(sqrt(1-x^8))`

Explanation:

We need to use the chain rule here. We differentiate the `5arcsin( )` part first then multiply that by the derivative of what's inside the brackets.

So:

`d/dx[5arcsin(x^4)]=5d/dx[arcsin(x^4)]`

`=5xx(1)/sqrt(1-(x^(4))^2)xx4x^3`

`=(20x^(3))/(sqrt(1-x^8))`