Consider the equation below. (If an answer does not exist, enter DNE.) f(x) = e⁹x + e-x (a) Find the interval on which f is increasing. (Enter your answer using interval notation.) Find the interval on which f is decreasing. (Enter your answer using interval notation.) || (b) Find the local minimum and maximum values of f. local minimum value local maximum value (c) Find the inflection point. (x, y) = Find the interval on which f is concave up. (Enter your answer using interval notation.) Find the interval on which f is concave down. (Enter your answer using interval notation.)
Consider the equation below. (If an answer does not exist, enter DNE.) f(x) = e⁹x + e-x (a) Find the interval on which f is increasing. (Enter your answer using interval notation.) Find the interval on which f is decreasing. (Enter your answer using interval notation.) || (b) Find the local minimum and maximum values of f. local minimum value local maximum value (c) Find the inflection point. (x, y) = Find the interval on which f is concave up. (Enter your answer using interval notation.) Find the interval on which f is concave down. (Enter your answer using interval notation.)
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 36E
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Step 1: Define the problem.
VIEWStep 2: Find the derivatives of the function.
VIEWStep 3: Determine the critical numbers.
VIEWStep 4: Find the intervals of increasing and decreasing.
VIEWStep 5: Find the local extreme value of the function.
VIEWStep 6: Find the inflection point of the function.
VIEWStep 7: Find the intervals of concave up and concave down.
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