Question

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

Answer 1

`f'(x)=3/(4x^(1/4))`

Explanation:

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

`color(orange)"Reminder " color(red)(bar(ul(|color(white)(2/2)color(black)(d/dx(ax^n)=nax^(n-1))color(white)(2/2)|)))`

`f(x)=x^(3/4)`

`rArrf'(x)=3/4x^(3/4-1)=3/4x^(-1/4)=3/(4x^(1/4)`