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

Dec 15, 2016

The value of the slope is $36$

#### Explanation:

The value of slope of a curve $f \left(x\right)$ in ${x}_{0}$ is $f ' \left({x}_{0}\right)$

Here we have:

$f ' \left(x\right) = 9 {x}^{2}$

$f ' \left(2\right) = 9 \cdot {2}^{2} = 9 \cdot 4 = 36$