Question

How do you find the derivative of `y=(2/(x^2))-5x^4`?

Answer 1

`(dy)/(dx)=-4/x^3-20x^3`

Explanation:

We can use here the derivative of `x^n`, which is `nx^(n-1)`

Hence as `y=(2/x^2)-5x^4=2x^(-2)-5x^4`

`(dy)/(dx)=2*(-2)*x^(-2-1)-5*4x^(4-1)`

= `-4x^(-3)-20x^3`

= `-4/x^3-20x^3`