Question

Consider the function h(c), for which h(2)= 2 and h'(2) = -5.

Find f'(2) for the function f(x) = h(2)/2

Answer 1

To find the derivative f'(2) for the constant function f(x) = h(2)/2 where h(2)= 2 and h'(2) = -5, we simply recognize that the derivative of a constant function is 0.

Step-by-step explanation:

The student is asking about finding the derivative of a function at a certain point. Specifically, the question is about finding the derivative f'(2) for the function f(x) = h(2)/2, given that h(2)= 2 and h'(2) = -5. Since f(x) is a constant function (because h(2) is a constant value), its derivative f'(x) at any point, including x=2, is 0. The rate of change of a constant function is always 0, as constants do not change.