Question

find the derivative of x^3please help, I dont even know what a derivative is, so please explain well.

Answer 1

The function is

$x^3$

THis is of the form

$x^n$

Where n is 3

Now, to find the derivative of x^n, we use the following:

$\text{Derivative of x}^n=nx^{n-1}$

It means if we take the derivative of an expression of the form x ^ n, then n gets mutliplied at the beginning and we reduce power of x by 1.

So, for x^3, it will be:

take 3 up front and reduce the power of x (which is 3) by 1, to be 2.

So, we have:

Derivative of x^3 is:

$\frac{d}{dx}(x^3)=3x^2$