Question

When is a point in the domain of a function called a critical point?

Options

• Either the derivative is zero there or the derivative does not exist there.

• The function has its greatest value on the entire given interval.

• The derivative changes from positive to negative there.

• The second derivative is positive there.

Answer 1

A critical point is a point in the domain where \[f'(x)=0\] or where \[f'(x)\] does not exist. Such points are checked for possible maxima or minima.