see attached 2 p>Find the second derivative of f (x)= x*e" .aa|a|sin (a)f" (x) =

Name: see attached 2 p>Find the second derivative of f (x)= x*e" .aa|a|sin (
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Description: see attached 2 p>Find the second derivative of f (x)= x*e" .aa|a|sin (a)f" (x) =

Answered: p>Find the second derivative of f (x)=…

Trigonometry (MindTap Course List)

10th Edition

ISBN:9781337278461

Author:Ron Larson

Publisher:Ron Larson

ChapterP: Prerequisites

SectionP.6: Analyzing Graphs Of Functions

Problem 6ECP: Find the average rates of change of f(x)=x2+2x (a) from x1=3 to x2=2 and (b) from x1=2 to x2=0.

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see attached 2

p>Find the second derivative of f (x)= x*e" .
a
a
|a|
sin (a)
f" (x) =

Expert Solution

Step 1

Let f(x) = x⁴e^x

Taking derivative from both sides,

To find first derivative, need to use product rule of derivative with u(x) = x⁴ and v(x) = e^x .

By using product rule and exponential rule of derivative,

By simplifying right side,

Factor out the common term from the right side,

Step by step

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