Question

What is the slope of the line normal to the tangent line of `f(x) = 2x-2` at `x= 3`?

Answer 1

`"Slope"=2`

Explanation:

A graph of `y=f(x)=mx+c` will always have a gradient of `m`.

So, when we have `f(x)=2x-2`, the gradient is always `2`

This can be shown by differentiation:

`f(x)=2x-2=2x^1-2x^0`

`f'(x)=1*2x^(1-1)-0*2x^(0-1)=2x^0-0=2`