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For Exercise determine whether of the | Ch 5.R - 7CC

ISBN: 9780321749000 67

Solution for problem 7CC Chapter 5.R

Calculus with Applications | 10th Edition

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Problem 7CC

For Exercise determine whether of the following statement is true or false, and explain why.

If f″(x) > 0 on an interval, the function is increasing on that interval.

Step-by-Step Solution:

Step 1 of 3 :

In this problem, we have to determine whether the statement is true or false and explain why.

Step 2 of 3 :

Second derivative tells us about the point of inflection, extrema and the shape of the curve.

Since a function is increasing if its derivative is positive, its slope is increasing if the derivative of the slope function is positive.

Since the derivative of a derivative is the second derivative, it can be used to tell only for slope is increasing or decreasing.

Step 3 of 3

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