Question

Find the slope of the line tangent to the graph of y = 2x3 – 2x + 57 at (–2, 45).

please help:(

Answer 1

The slope is 22

Explanation:

Answer 2

The slope = 22.

Explanation:

First we find the derivative:

y' = 6x^2 - 2

This gives the slope of the line tangent to the point (x, y) on the graph of y.

So for the tangent at (-2, 45) the slope is:

6(-2)^2 - 2 = 24 - 2

= 22.