Determine whether the statement is true or false.If it is true, explain why it is true.If it is false, give an example to show why it is false. then f must have a critical point at (a, b).
A)False.In relative extremum and .
B)True.It follows from definition.

Question

Determine whether the statement is true or false.If it is true, explain why it is true.If it is false, give an example to show why it is false.  then f must have a critical point at (a, b).
A)False.In relative extremum and . 
B)True.It follows from definition.

Quizplus · Accepted Answer

This statement is true by the definition of a critical point, which is a point where the derivative of the function is either zero or undefined. Therefore, if f has a value of 11eb12b0_a92e_e987_b394_53fdcff39ffb_TB7866_11, then the derivative of f with respect to both variables must be zero at (a,b), indicating a critical point.

Determine Whether the Statement Is True or False