Question

How do you find f'(x) using the definition of a derivative for `f(x)=7x^2 - 3`?

Answer 1

`f'(x)=14x`

Explanation:

The rules:
The derivative of a number is `0`
The derivative of a power of `x` is power times `x` to power-1.

So if `g(x)=x^2->g'(x)=2*x^(2-1)=2x`

So here we get:
`f'(x)=7*2x-0=14x`