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CalculusCalculus: An Applied Approach (MindTap Course List)10th Edition

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Chapter 8.4, Problem 24E
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Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

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Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919
Textbook Problem
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Differentiating Trigonometric Functions In Exercises 1-28, find the derivative of the trigonometric function. See Examples 1, 2, 3,

y = x 2 cos 1 x

To determine

To calculate: The derivative of the trigonometric function y=x2cos1x.

Explanation

Given Information:

The provided trigonometric function is y=x2cos1x.

Formula used:

Cosine differentiation rule:

ddx[cosu]=−sinududx

Product rule of differentiation:

ddx[a(x)b(x)]=a(x)b′(x)+b(x)a′(x)

General power rule of differentiation:

ddx[xn]=nxn−1

Calculation:

Consider the provided trigonometric function is,

y=x2cos1x

Apply the product rule of differentiation to find the derivative of the above function.

dydx=x2ddx[cos1x]+cos1xddx[x2]

Differentiate the above function using general power rule and cosine differentiation rule

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Sect-8.1 P-1CPSect-8.1 P-2CPSect-8.1 P-3CPSect-8.1 P-4CPSect-8.1 P-1SWUSect-8.1 P-2SWUSect-8.1 P-3SWUSect-8.1 P-4SWUSect-8.1 P-5SWUSect-8.1 P-6SWU
Sect-8.1 P-7SWUSect-8.1 P-8SWUSect-8.1 P-9SWUSect-8.1 P-10SWUSect-8.1 P-1ESect-8.1 P-2ESect-8.1 P-3ESect-8.1 P-4ESect-8.1 P-5ESect-8.1 P-6ESect-8.1 P-7ESect-8.1 P-8ESect-8.1 P-9ESect-8.1 P-10ESect-8.1 P-11ESect-8.1 P-12ESect-8.1 P-13ESect-8.1 P-14ESect-8.1 P-15ESect-8.1 P-16ESect-8.1 P-17ESect-8.1 P-18ESect-8.1 P-19ESect-8.1 P-20ESect-8.1 P-21ESect-8.1 P-22ESect-8.1 P-23ESect-8.1 P-24ESect-8.1 P-25ESect-8.1 P-26ESect-8.1 P-27ESect-8.1 P-28ESect-8.1 P-29ESect-8.1 P-30ESect-8.1 P-31ESect-8.1 P-32ESect-8.1 P-33ESect-8.1 P-34ESect-8.1 P-35ESect-8.1 P-36ESect-8.1 P-37ESect-8.1 P-38ESect-8.1 P-39ESect-8.1 P-40ESect-8.1 P-41ESect-8.1 P-42ESect-8.1 P-43ESect-8.1 P-44ESect-8.1 P-45ESect-8.1 P-46ESect-8.1 P-47ESect-8.1 P-48ESect-8.1 P-49ESect-8.1 P-50ESect-8.1 P-51ESect-8.1 P-52ESect-8.1 P-53ESect-8.1 P-54ESect-8.1 P-55ESect-8.1 P-56ESect-8.1 P-57ESect-8.1 P-58ESect-8.2 P-1CPSect-8.2 P-2CPSect-8.2 P-3CPSect-8.2 P-4CPSect-8.2 P-5CPSect-8.2 P-6CPSect-8.2 P-7CPSect-8.2 P-1SWUSect-8.2 P-2SWUSect-8.2 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Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th

Sketching the Graph of a Trigonometric Function In Exercises 55-66, sketch the graph of the function. y=2sec2x

Calculus (MindTap Course List)

Volume In Exercises 11-14, sketch the solid region whose volume is given by the iterated integral and evaluate ...

Multivariable Calculus

A recent survey showed that a majority of Americans plan on doing their holiday shoppingonline because they don...

STATISTICS F/BUSINESS+ECONOMICS-TEXT

Graph each function by using transformations. fx=2x+1-2

College Algebra (MindTap Course List)

Suppose (hat a complex therapy procedure contains one component that has absolutely no effect on behavior. Expl...

Research Methods for the Behavioral Sciences (MindTap Course List)

Given the following barrel scale and thimble scale settings of a 0.001-inch micrometer, determine the readings ...

Mathematics For Machine Technology

The report 2013 International Bedroom Poll: Summary of Findings describes a survey of 251 adult Americans condu...

Introduction To Statistics And Data Analysis

Based on sales over a six-month period, the five top-selling compact cars are Chevy Cruze, Ford Focus, Hyundai ...

Statistics for Business & Economics, Revised (MindTap Course List)

For each of the following scenarios, identify which sampling method is used: a. The State College is conducting...

Research Methods for the Behavioral Sciences (MindTap Course List)

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