Question

How do you find the slope of the graph `f(x)=3x^3-6` at (2,18)?

Answer 1

The value of the slope is `36`

Explanation:

The value of slope of a curve `f(x)` in `x_0` is `f'(x_0)`

Here we have:

`f'(x)=9x^2`

`f'(2)=9*2^2=9*4=36`