Question

Local maxima and minima of the log function occur at points where the derivative is?

A. Positive
B. Negative
C. Zero

Answer 1

The local maxima and minima of the log function occur at points where the derivative is zero.

Step-by-step explanation:

The local maxima and minima of the log function occur at points where the derivative is zero. This means that the derivative of the log function changes its sign from positive to negative or vice versa at these points.

For example, if we consider the function f(x) = log(x), the derivative is f'(x) = 1/x. The derivative is positive for x > 1 and negative for x < 1. At x = 1, the derivative is zero, and this is where the local minimum of the function occurs.

Therefore, the correct answer is C. Zero.