Answered: Find all local extrema for f(x)=x2e2x…

Find all local extrema for f(x)=x2e2x in the first cycle of the curve. Be sure to show a test for your critical number(s).

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter3: The Derivative

Section3.3: Rates Of Change

Problem 6E: Find the average rate of change for each function over the given interval. y=3x2 between x=1 and x=2

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Question

Find all local extrema for f(x)=x²e^2xin the first cycle of the curve. Be sure to show a test for your critical number(s).

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Step 1: Define the problem.

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Step 2: Find the derivatives of the function.

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Step 3: Determine the critical numbers.

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Step 4: Determine the nature of the critical number.

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Step 5: Continuation:

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Solution

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