Question

Consider the following function.
f(x) = 2/x^2; x = −1
(a) Use any method to estimate the slope of the tangent to the graph of the given function at the point with the given x-coordinate.

Answer 1

Take the derivative:
2/x^2 = 2x^-2
Derivative is a power rule:
-4x^-3
Plug in -1
-4(-1)^-3
The slope of the tangent is 4

Answer 2

Thank you!