Question

How do you find the derivative of `x^(3/4)`?

Answer 1

The derivative is `3/(4x^(1/4))` or `3/4x^(-1/4)`.

Explanation:

Use the power rule:

`color(white)=d/dx[x^color(red)(3/4)]`

`=color(red)(3/4)x^(color(red)(3/4)-1)`

`=color(red)(3/4)x^(color(red)(3/4)-4/4)`

`=color(red)(3/4)x^(-1/4)`

`=color(red)(3/(4color(black)(x^(1/4))))`