Question

Determine the value of k such that f(x) = 47° - kx has a horizontal tangent at x = -1.

A) 2
B) -8
C) 1
D) 4

Answer 1

The value of k that will give f(x) a horizontal tangent at x = -1 is k = 0.

Step-by-step explanation:

To determine the value of k such that f(x) = 47° - kx has a horizontal tangent at x = -1, we need to find the derivative of f(x) with respect to x and set it equal to 0.

The derivative of f(x) is equal to -k. To have a horizontal tangent, the derivative must be equal to 0. Therefore, we have -k = 0, which means k = 0.

Therefore, the value of k that will give f(x) a horizontal tangent at x = -1 is k = 0.