Explanation Let f ( x ) be a continuous function on [a, b] and differentiable in (a, b) then f ( x ) is increasing in [ a , b ] if f ' ( x ) > 0 for each x ∈ ( a , b ) f ( x ) is decreasing in [ a , b ] if f ' ( x ) < 0 for each x ∈ ( a , b ) f ( x ) = x 2 + 1 f ' ( x ) = x x 2 + 1 Let f ' ( x ) = 0 Critical points will be x = 0 Now, let’s check the sign of derivative of function

6th Edition

ISBN: 9781465208880

Author: SMITH KARL J, STRAUSS MONTY J, TODA MAGDALENA DANIELE

Publisher: Kendall Hunt Publishing

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Chapter 4.3, Problem 22PS

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The monotonicity, concavity and graph of f(x)=x2+1

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Chapter 4.3, Problem 21PS

Chapter 4.3, Problem 23PS

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Chapter 4 Solutions

Calculus

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The monotonicity, concavity and graph of f ( x ) = x 2 + 1

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Chapter 4 Solutions