To find the minimum or the maximum of a function, we set the gradient to zero because:
A)The value of the gradient at extrema of a function is always zero
B)Depends on the type of problem
C)Both A and B
D)None of the above

Question

Quizplus · Accepted Answer

The value of the gradient at the extrema (minimum or maximum points) of a function is always zero because at these points, the slope of the tangent to the curve is horizontal, indicating no change in the function's value, which mathematically translates to a zero gradient.

To Find the Minimum or the Maximum of a Function