Question

Differentiate the function f(x)=x^(3/2) ?

I've tried myself but the answer should apparently start f'(x)=

Answer 1

`d/dxx^(3/2)=3/2sqrtx`

Explanation:

Differentiating a function simply means to take the derivative of it, or to find a function which represents the instantaneous rate of change at any given point in the function.

The function you've given isn't too complex. All it is is using the power rule, which says

`d/dxx^n=nx^(n-1)`

And having a fraction in the power means the top number is what your value is raised to, and the lower is the root. Therefore, you reach:

`d/dxx^(3/2)=3/2x^(1/2)`

or simply

`d/dxx^(3/2)=3/2sqrtx`