Question

Let y=1/2+11​. Find the values of x for which y is increasing most rapidly or decreasing most rapidly: is where y is increasing most rapidly. z= is where y is decreasing most rapidly,

Answer 1

To find the values of x for which y is increasing most rapidly or decreasing most rapidly, we need to determine the critical points of the given expression y = 1/2x + 11x

Step-by-step explanation:

To find the values of x for which y is increasing most rapidly or decreasing most rapidly, we need to determine the critical points of the given expression y = 1/2x + 11x.

First, we need to find the derivative of y with respect to x, which is dy/dx.

dy/dx = 1/2 + 11 = 11.5

Since the derivative is a constant value of 11.5, y is increasing most rapidly or decreasing most rapidly for all values of x.