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11th Edition

Ron Larson + 1 other

Publisher: Cengage Learning

ISBN: 9781337275361

Chapter 2, Problem 41RE

Textbook Problem

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Finding an Equation of a Tangent Line **In Exercises 41-44, find an equation of the tangent line to the graph of f at the given point.**

To determine

**To calculate:** The equation of the tangent for the given function expressed as

**Given:**

The given curve is expressed as,

**Formula used:**

The derivative of

Where, *n* is a constant value, *x* is variable and

And, the equation of the tangent line at point

**Calculation:**

Consider,

Calculus of a Single Variable

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The figure shows the graphs of...Ch. 2.3 - Finding a Pattern In Exercises 121 and 122,...Ch. 2.3 - Finding a Pattern In Exercises 121 and 122....Ch. 2.3 - Finding a Pattern Consider the function...Ch. 2.3 - Finding a Pattern Develop a general rule for the...Ch. 2.3 - Finding a Pattern In Exercises 125 and 126, find...Ch. 2.3 - Finding a Pattern In Exercises 125 and 126, find...Ch. 2.3 - Differential Equations In Exercises 127130, verify...Ch. 2.3 - Differential Equations In Exercises 127-130,...Ch. 2.3 - Differential Equations In Exercises 127-130,...Ch. 2.3 - Differential Equations In Exercises 127-130,...Ch. 2.3 - True or False? In Exercises 131-136, determine...Ch. 2.3 - True or False? In Exercises 131-136. determine...Ch. 2.3 - True or False? In Exercises 131-136. determine...Ch. 2.3 - True or False? In Exercises 131-136, determine...Ch. 2.3 - True or False? In Exercises 131-136, determine...Ch. 2.3 - True or False? 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Finding Derivatives In Exercises 99 and 100, the...Ch. 2.4 - Doppler Effect The frequency F of a fire truck...Ch. 2.4 - Harmonic Motion The displacement from equilibrium...Ch. 2.4 - Pendulum A 15-centimeter pendulum moves according...Ch. 2.4 - Wave Motion A buoy oscillates in simple harmonic...Ch. 2.4 - Modeling Data The normal daily maximum...Ch. 2.4 - HOW DO YOU SEE IT? The cost C (in dollars) of...Ch. 2.4 - Biology The number N of bacteria in a culture...Ch. 2.4 - Depreciation The value V of a machine t years...Ch. 2.4 - Finding a Pattern Consider the function f(x)=sinx,...Ch. 2.4 - Conjecture Let f be a differentiable function of...Ch. 2.4 - Think About It Let r(x)=f(g(x)) and s(x)=g(f(x)),...Ch. 2.4 - Using Trigonometric Functions (a) Find the...Ch. 2.4 - Even and Odd Functions (a) Show that the...Ch. 2.4 - Proof Let u be a differentiable function of x. Use...Ch. 2.4 - Using Absolute Value In Exercises 115-118. use the...Ch. 2.4 - Using Absolute Value In Exercises 115-118. use the...Ch. 2.4 - Using Absolute Value In Exercises 115-118. use the...Ch. 2.4 - Using Absolute Value In Exercises 115-118. use the...Ch. 2.4 - Linear and Quadratic Approximations The linear and...Ch. 2.4 - Linear and Quadratic Approximations The linear and...Ch. 2.4 - True or False? In Exercises 121-124. determine...Ch. 2.4 - True or False? 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In Exercises 57-62, find two quadratic functions, one that opens upward and one that opens downward, whose grap...

College Algebra

Financing a New Car You are buying a new car, and you plan to finance your purchase with a loan that you will r...

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

47. During the period of time that a local university takes phone-in registrations, calls come in at the rate o...

Modern Business Statistics with Microsoft Office Excel (with XLSTAT Education Edition Printed Access Card) (MindTap Course List)

In your own words, explain the difference between an interval estimate of the mean value of y for a given x and...

Essentials Of Statistics For Business & Economics

In Exercises 54-62, use the following matrices. A=[5739]B=[7980]C=[81213521731722815]D=[1422539415358307] E=[53...

Mathematics: A Practical Odyssey