12 Nov 2021
Problem 4b
Page 280
Section 4.3: Derivatives and Shapes of Curves
Chapter 4: Applications of Differentiation
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12 Nov 2021
Given information
As per the given information:
To state : The second derivative test.
Step-by-step explanation
Step 1.
Let us State the Second Derivative Test,
First find the derivative of that is denoted by
Then find the second derivative
If for all values of over an interval , then the graph of is concave upward over the interval.
If for all values of over an interval , then the graph is concave downward over that interval.
If then the second derivative test is inconclusive.
For such case use the first derivative test.