2 Nov 2021
Problem 60
Page 282
Section 4.3: Derivatives and Shapes of Curves
Chapter 4: Applications of Differentiation
Textbook ExpertVerified Tutor
2 Nov 2021
Given information
Given function is and has maximum value of at .
Step-by-step explanation
Step 1.
Use the given function,
Differentiate the given function with respect to ,
As the given function has maximum value of at and the given point is critical point.
We know that at the critical point, the first derivative of the function is , then we get
From the above expression, we can say
or
or
but if , the would always be zero, which is not possible.
Hence,