
Concept explainers
Tofind:the interval of increase and decrease function, interval of concavity,

Answer to Problem 5E
From the graph it can be easily verify the increasing and decreasing of the function,
Explanation of Solution
Given:
Concept used:
Increasing or decreasing function can be calculated by equating first derivative of the function to 0.
If
If
If the graph of
Calculation:
Real solution:
Complex solution:
Concave upward at point which is Minima
Concave downward at point which is maxima
Inflection point lies in the interval of:
Put the value of x here to get the value of y coordinate:
Inflection point=
The function increases in the interval of
The function decreases in the interval of
Concave upward at point which is Minima
Inflection point=
The graph of the function
Red line indicates the graph of the function
Blue line indicates the graph of the first derivative of the function
Green line indicates the second derivative of the function
Hence from the graph it can be easily verify the increasing and decreasing of the function, maxima and minima and inflection point and concavity of the function.
Chapter 4 Solutions
Single Variable Calculus: Concepts and Contexts, Enhanced Edition
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