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Get Full Access to Calculus: Early Transcendentals - 1 Edition - Chapter 4.3 - Problem 8e
Get Full Access to Calculus: Early Transcendentals - 1 Edition - Chapter 4.3 - Problem 8e

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# Solved: Shape of the curve Sketch a curve with the ISBN: 9780321570567 2

## Solution for problem 8E Chapter 4.3

Calculus: Early Transcendentals | 1st Edition

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Problem 8E

Shape of the curve ?Sketch a curve with the following properties.

Step-by-Step Solution:
Step 1 of 3

Solution: Step1 x f’(x)<0 Means f(x) is decreasing f’’(x)<0 means for all x in some interval I then f(x) is concave down on I. -1 f’(x)<0 and f’’(x)>0 If -1 f’(x)<0 Means f(x) is decreasing. f’’(x)>0 means for all x in some interval I then f(x) is concave up on I. Step2 20 and f’’(x)>0 If 2 f’(x)>0 Means f(x) is increasing f’’(x)>0 means for all x in some interval I then f(x) is concave up on I. 8 f’(x)>0 and f’’(x)<0 If 8 f’(x)>0 Means f(x) is increasing. f’’(x)<0 means for all x in some interval I then f(x) is concave down on I. x>10=> f’(x)>0 and f’’(x)>0 If x>10=> f’(x)>0 Means f(x) is increasing. f’’(x)<0 means for all x in some interval I then f(x) is concave up on I. Step3

Step 2 of 3

Step 3 of 3

##### ISBN: 9780321570567

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