Question

What is the slope of the graph of y = x^2 + 12 -7 at the point x = 4

Answer 1

Answer:

20

Step-by-step explanation:

Step 1:  find the derivative of y = x^2 + 12x - 7; it is 2x + 12.

This function represents the slope of the tangent line to the given curve at x.

Step 2:  Substitute 4 for x in f '(x) = 2x + 12:  f '(4) = 2(4) + 12 = 20

The slope of the tangent line to the graph of y = x^2 + 12x - 7 at x = 4 is 20.