Find the value of x at which the function has a possible relative maximum or minimum point. (Recall that ex is positive for all x.) Use the second derivative to determine the nature of the function at this point. f(x) = (6x − 4)e² – 6x What are the first and second derivatives of f(x)? f'(x)=-36xe²-6x+30e²-6x f'(x)=

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.
Chapter4: Calculating The Derivative
Section4.CR: Chapter 4 Review
Problem 4CR: Determine whether each of the following statements is true or false, and explain why. The derivative...
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Find the value of x at which the function has a possible relative maximum or minimum point. (Recall that ex is positive
for all x.) Use the second derivative to determine the nature of the function at this point.
f(x) = (6x − 4)e² – 6x
What are the first and second derivatives of f(x)?
f'(x)=-36xe²-6x+30e²-6x
f'(x)=
Transcribed Image Text:Find the value of x at which the function has a possible relative maximum or minimum point. (Recall that ex is positive for all x.) Use the second derivative to determine the nature of the function at this point. f(x) = (6x − 4)e² – 6x What are the first and second derivatives of f(x)? f'(x)=-36xe²-6x+30e²-6x f'(x)=
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