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

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Chapter 7.4, Problem 4SWU
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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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In Exercises 1-8, find the derivative of the function.

f ( x ) = e 2 x 1 − e 2 x

To determine

To calculate: The derivative of the function f(x)=e2x1−e2x.

Explanation

Given information:

The provided function is f(x)=e2x1−e2x.

Formula used:

According to the product rule of differentiation, the derivative of the product of the two differentiable functions is equal to the first function with derivative of the second function plus the second function with derivative of the first function.

ddx[f(x)g(x)]=f(x)g′(x)+g(x)f′(x)

Calculation:

Consider the provided function is,

f(x)=e2x1−e2x

Apply the product rule derivative the function, f(x)=e2x1−e2x.

f′(x)=(e2x)ddx(1−e2x)+(1−e2x)ddx(e2x)

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Sect-7.1 P-1CPSect-7.1 P-2CPSect-7.1 P-3CPSect-7.1 P-4CPSect-7.1 P-5CPSect-7.1 P-6CPSect-7.1 P-7CPSect-7.1 P-1SWUSect-7.1 P-2SWUSect-7.1 P-3SWU
Sect-7.1 P-4SWUSect-7.1 P-5SWUSect-7.1 P-6SWUSect-7.1 P-7SWUSect-7.1 P-8SWUSect-7.1 P-1ESect-7.1 P-2ESect-7.1 P-3ESect-7.1 P-4ESect-7.1 P-5ESect-7.1 P-6ESect-7.1 P-7ESect-7.1 P-8ESect-7.1 P-9ESect-7.1 P-10ESect-7.1 P-11ESect-7.1 P-12ESect-7.1 P-13ESect-7.1 P-14ESect-7.1 P-15ESect-7.1 P-16ESect-7.1 P-17ESect-7.1 P-18ESect-7.1 P-19ESect-7.1 P-20ESect-7.1 P-21ESect-7.1 P-22ESect-7.1 P-23ESect-7.1 P-24ESect-7.1 P-25ESect-7.1 P-26ESect-7.1 P-27ESect-7.1 P-28ESect-7.1 P-29ESect-7.1 P-30ESect-7.1 P-31ESect-7.1 P-32ESect-7.1 P-33ESect-7.1 P-34ESect-7.1 P-35ESect-7.1 P-36ESect-7.1 P-37ESect-7.1 P-38ESect-7.1 P-39ESect-7.1 P-40ESect-7.1 P-41ESect-7.1 P-42ESect-7.1 P-43ESect-7.1 P-44ESect-7.2 P-1CPSect-7.2 P-2CPSect-7.2 P-3CPSect-7.2 P-1SWUSect-7.2 P-2SWUSect-7.2 P-3SWUSect-7.2 P-4SWUSect-7.2 P-5SWUSect-7.2 P-6SWUSect-7.2 P-1ESect-7.2 P-2ESect-7.2 P-3ESect-7.2 P-4ESect-7.2 P-5ESect-7.2 P-6ESect-7.2 P-7ESect-7.2 P-8ESect-7.2 P-9ESect-7.2 P-10ESect-7.2 P-11ESect-7.2 P-12ESect-7.2 P-13ESect-7.2 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P-2SWUSect-7.7 P-3SWUSect-7.7 P-4SWUSect-7.7 P-5SWUSect-7.7 P-6SWUSect-7.7 P-7SWUSect-7.7 P-8SWUSect-7.7 P-1ESect-7.7 P-2ESect-7.7 P-3ESect-7.7 P-4ESect-7.7 P-5ESect-7.7 P-6ESect-7.7 P-7ESect-7.7 P-8ESect-7.7 P-9ESect-7.7 P-10ESect-7.7 P-11ESect-7.7 P-12ESect-7.7 P-13ESect-7.7 P-14ESect-7.7 P-15ESect-7.7 P-16ESect-7.7 P-17ESect-7.7 P-18ESect-7.7 P-19ESect-7.7 P-20ESect-7.7 P-21ESect-7.7 P-22ESect-7.7 P-23ESect-7.7 P-24ESect-7.7 P-25ESect-7.7 P-26ESect-7.7 P-27ESect-7.7 P-28ESect-7.7 P-29ESect-7.7 P-30ESect-7.8 P-1CPSect-7.8 P-2CPSect-7.8 P-3CPSect-7.8 P-4CPSect-7.8 P-5CPSect-7.8 P-6CPSect-7.8 P-1SWUSect-7.8 P-2SWUSect-7.8 P-3SWUSect-7.8 P-4SWUSect-7.8 P-5SWUSect-7.8 P-6SWUSect-7.8 P-7SWUSect-7.8 P-8SWUSect-7.8 P-9SWUSect-7.8 P-10SWUSect-7.8 P-11SWUSect-7.8 P-12SWUSect-7.8 P-13SWUSect-7.8 P-14SWUSect-7.8 P-15SWUSect-7.8 P-16SWUSect-7.8 P-1ESect-7.8 P-2ESect-7.8 P-3ESect-7.8 P-4ESect-7.8 P-5ESect-7.8 P-6ESect-7.8 P-7ESect-7.8 P-8ESect-7.8 P-9ESect-7.8 P-10ESect-7.8 P-11ESect-7.8 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Mathematical Excursions (MindTap Course List)

Rewrite each expression in Exercises 116 as a single rational expression, simplified as much as possible. 2x3x2...

Finite Mathematics

51. Profit In its second year of operation, a local Internet provider’s profits were $175,000. If this amount w...

Mathematical Applications for the Management, Life, and Social Sciences

Test the series for convergence or divergence. 11. n=1(1n3+13n)

Single Variable Calculus: Early Transcendentals

Approximate the magnitude of each vector and the angle , 0360, that the vector makes with the positive x-axis. ...

Trigonometry (MindTap Course List)

Using ordinary interest, 360 days, calculate the bank discount, proceeds, and effective rate for the following ...

Contemporary Mathematics for Business & Consumers

5. Prove that contain a zero divisor if and only if does.

Elements Of Modern Algebra

Rearrange each polynomial in decreasing order and state its degree: 1x5

Elementary Technical Mathematics

Given that MNPQ is a trapezoid, use intuition to draw a conclusion regarding MN- and PQ-

Elementary Geometry For College Students, 7e

Conjecture (a) Find formulas for the distances between (0.0) and (a,a2),a0, along the line between these points...

Calculus: Early Transcendental Functions (MindTap Course List)

Evaluating a Second Derivative In Exercises 89-92, evaluate the second derivative of the function at the given ...

Calculus of a Single Variable

In Exercises 13 to 15, jk and ABC. Given: m3=55m2=74 Find: m1, m4, and m5

Elementary Geometry for College Students

COLLEGE GRADUATION RATE: The registrar of Computronics Institute has compiled the following statistics on the p...

Finite Mathematics for the Managerial, Life, and Social Sciences

True or False: The figure at the right is the graph of the direction field for y = (y 1)x2.

Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th

Finding a Derivative In Exercises 11-18, find r(t). r(t)=t4i5tj

Multivariable Calculus

The slope of the tangent line at the point where to the curve y = sin 2t, x = cos 3t is: 3 −3

Study Guide for Stewart's Multivariable Calculus, 8th

Evaluating a Definite Integral In Exercises 131-134, evaluate the definite integral. 01sinh2xdx

Calculus (MindTap Course List)

Representing a Graph by Vector-Valued Function In exercises 55-62 sketch the space curve represented by the int...

Calculus

Consumer Reports (consumerreports.org) rated 37 different models of laptops that were for sale in 2015. An over...

Introduction To Statistics And Data Analysis

Refer again to the gasoline sales time series data in Table 17.1. a. Using a weight of 1/2 for the most recent ...

STATISTICS F/BUSINESS+ECONOMICS-TEXT

The data from exercise 1 follow. xi 1 2 3 4 5 yi 3 7 5 11 14 a. Use equation (14.23) to estimate the standard d...

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

In general, how does a phase-change design like the ABAB reversal design demonstrate that the treatment (rather...

Research Methods for the Behavioral Sciences (MindTap Course List)

Subtract each of the fractions in Exercises 7 through 9. Reduce to lowest terms where necessary. a. 58932 b. 78...

Mathematics For Machine Technology

A researcher would like to use a factorial study to compare two programs designed to help people stop smoking. ...

Research Methods for the Behavioral Sciences (MindTap Course List)

Graph each rational function. Check your work with a graphing calculator. y=3x24x+12x3+3x2+x

College Algebra (MindTap Course List)

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