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

Question

3066 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-12-15T09:10:29

The value of the slope is $36$ $36$

The value of slope of a curve $f (x)$ $f(x)$ in $x_{0}$ $x_0$ is $f'(x_0)$

Here we have:

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

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

How do you find the slope of the graph f(x)=3x^3-6f(x)=3x3−6f(x)=3x^3-6 at (2,18)?