   Chapter 4.3, Problem 34E ### Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343

#### Solutions

Chapter
Section ### Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343
Textbook Problem

# The graph of a function y = f(x) is shown. At which point(s) are the following true?(a) d y d x and d 2 y d x 2 are   both   positive .(b) d y d x and d 2 y d x 2 are   both   negative .(c) d y d x is   negative   but d 2 y d x 2 is   positive . (a)

To determine

To find: The point which satisfy the mentioned condition.

Explanation

Given:

The condition is dydx and d2ydx2 both are positive.

Calculation:

From the given condition, it is observed that the first derivative of the function f(x) is positive. So, the function f(x) is increasing.

That is, since dydx>0 , f(x) is increasing

(b)

To determine

To find: The point which satisfy the mentioned condition.

(c)

To determine

To find: The point which satisfy the mentioned condition.

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Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th 