Problem 6
Page 268
Section 4.2: Maximum and Minimum Values
Chapter 4: Applications of Differentiation
Given information
We have graph of a function , and it can be seen that above mentioned function is continuous in the given domain of the function but it is not differentiable at each and every point of it's domain so there exists some critical points within the domain of the function where local maxima or minima and absolute maximum or minimum will occur. Critical points are defined as the points within the domain of the function where either the derivative of the function is '0' or it is not defined at that point, for example in the above graph function have four critical points namely =
Step-by-step explanation
The value of the function at is ,
The value of the function at is ,
The value of the function at is ,
The value of the function at is ,
Also, value of the function at end points of the domain are -: at , = and at , = .