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

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Chapter 8.4, Problem 1CP
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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
1 views

Differentiate each function.

a. y = cos   4 x

b. y = sin ( x 2 − 1 )

c. y = tan x 2

(a)

To determine

To calculate: The derivative of the trigonometric function y=cos4x.

Explanation

Given Information:

The trigonometric function:

y=cos4x

Formula used:

Cosine differentiation rule:

ddx[cosu]=−sinududx

General power rule of differentiation:

ddx[xn]=nxn−1

Calculation:

Consider the trigonometric function:

y=cos4x

Letting u=4x then dudx=4

Substitute u for 4x in above function,

y=cosu

Now differentiate the given function y=cosu with r

(b)

To determine

To calculate: The derivative of the trigonometric function y=sin(x2−1).

(c)

To determine

To calculate: The derivative of the trigonometric function y=tanx2.

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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
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P-7SWUSect-8.5 P-8SWUSect-8.5 P-9SWUSect-8.5 P-10SWUSect-8.5 P-11SWUSect-8.5 P-12SWUSect-8.5 P-13SWUSect-8.5 P-14SWUSect-8.5 P-15SWUSect-8.5 P-16SWUSect-8.5 P-17SWUSect-8.5 P-18SWUSect-8.5 P-19SWUSect-8.5 P-20SWUSect-8.5 P-1ESect-8.5 P-2ESect-8.5 P-3ESect-8.5 P-4ESect-8.5 P-5ESect-8.5 P-6ESect-8.5 P-7ESect-8.5 P-8ESect-8.5 P-9ESect-8.5 P-10ESect-8.5 P-11ESect-8.5 P-12ESect-8.5 P-13ESect-8.5 P-14ESect-8.5 P-15ESect-8.5 P-16ESect-8.5 P-17ESect-8.5 P-18ESect-8.5 P-19ESect-8.5 P-20ESect-8.5 P-21ESect-8.5 P-22ESect-8.5 P-23ESect-8.5 P-24ESect-8.5 P-25ESect-8.5 P-26ESect-8.5 P-27ESect-8.5 P-28ESect-8.5 P-29ESect-8.5 P-30ESect-8.5 P-31ESect-8.5 P-32ESect-8.5 P-33ESect-8.5 P-34ESect-8.5 P-35ESect-8.5 P-36ESect-8.5 P-37ESect-8.5 P-38ESect-8.5 P-39ESect-8.5 P-40ESect-8.5 P-41ESect-8.5 P-42ESect-8.5 P-43ESect-8.5 P-44ESect-8.5 P-45ESect-8.5 P-46ESect-8.5 P-47ESect-8.5 P-48ESect-8.5 P-49ESect-8.5 P-50ESect-8.5 P-51ESect-8.5 P-52ESect-8.5 P-53ESect-8.5 P-54ESect-8.5 P-55ESect-8.5 P-56ESect-8.5 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Finding the Slope of a Graph In Exercises 63-70, find the slope of the graph of the function at the given point...

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Home values tend to increase over time under normal conditions, but the recession of 2008 and 2009 has reported...

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

Find the probability of each event. Drawing 5 aces from a card deck without replacing the cards after each draw

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Raise the following terms to the indicated powers and combine like terms where possible. (3x25y3)2

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Recall that in Exercise 10.41, a survey of 304 U.S. businesses found that 201 indicated that they monitor emplo...

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Martinez Auto Supplies has retail stores located in eight cities in California. The price they charge for a par...

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Identify the statistical techniques that are appropriate for each nonexperimental, quasi-experimental, and deve...

Research Methods for the Behavioral Sciences (MindTap Course List)

Define the concept of internal validity and a threat to internal validity.

Research Methods for the Behavioral Sciences (MindTap Course List)

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