Using the Second Derivative Test In
Exercises 37-58, find all relative extrema of the function. Use the Second Derivative Test where applicable.
To calculate: The relative extrema of the provided function using the second derivative test.
For a function f that is twice differentiable on an open interval I,
If for some c, and,
If the function f has relative minima at c
If the function f has relative maxima at c.
If , the test fails.
First differentiate the provided function,
Equate the first derivative to zero to obtain the critical points.
Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!Get Started
Precalculus: Mathematics for Calculus (Standalone Book)
Calculus: Early Transcendentals
Single Variable Calculus: Early Transcendentals, Volume I
Calculus: An Applied Approach (MindTap Course List)
Finite Mathematics and Applied Calculus (MindTap Course List)
Essentials Of Statistics
Essentials of Statistics for The Behavioral Sciences (MindTap Course List)
Calculus (MindTap Course List)
Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach
Understanding Basic Statistics
Statistics for The Behavioral Sciences (MindTap Course List)
Single Variable Calculus
Mathematical Applications for the Management, Life, and Social Sciences
Mathematical Excursions (MindTap Course List)
Probability and Statistics for Engineering and the Sciences
Single Variable Calculus: Early Transcendentals
Trigonometry (MindTap Course List)
Contemporary Mathematics for Business & Consumers
Elementary Technical Mathematics
Elementary Geometry For College Students, 7e
Elements Of Modern Algebra
Calculus of a Single Variable
Elementary Geometry for College Students
Finite Mathematics for the Managerial, Life, and Social Sciences