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7th Edition

Waner + 1 other

Publisher: Cengage Learning,

ISBN: 9781337291248

Chapter 4.6, Problem 15E

Textbook Problem

In Exercises 11-30, find the indicated derivative using implicit differentiation. [**HINT:** See Example 1.]

Expert Solution

To determine

**To calculate:** The value of

**Given information:**

The provided equation is

**Formula used:**

Constant multiple rule of derivative of function *c* is constant.

Product rule of derivative of differentiable functions,

**Calculation:**

Consider the equation,

Take

Apply constant multiple rule in the above expression,

Apply the product rule for the derivative of

Applied Calculus

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The...Ch. 4.4 - Food versus Education The percentage y (of total...Ch. 4.4 - Food versus Recreation The percentage y (of total...Ch. 4.4 - Marginal Revenue The weekly revenue from the sale...Ch. 4.4 - Marginal Revenue The weekly revenue from the sale...Ch. 4.4 - Crime Statistics The murder rate in large cities...Ch. 4.4 - Crime Statistics Following is a quadratic model...Ch. 4.4 - Existing Home Sales The following graph shows the...Ch. 4.4 - Existing Home Sales Leading to the Financial...Ch. 4.4 - Pollution An offshore oil well is leaking oil and...Ch. 4.4 - Mold A mold culture in a dorm refrigerator is...Ch. 4.4 - Budget Overruns The Pentagon is planning to build...Ch. 4.4 - Soap Bubbles The soap bubble I am blowing has a...Ch. 4.4 - Revenue Growth The demand for the Cyberpunk II...Ch. 4.4 - Information Highway The amount of information...Ch. 4.4 - Money Stock Exercises 97100 are based on the...Ch. 4.4 - Money Stock Exercises 97100 are based on the...Ch. 4.4 - Money Stock Exercises 97100 are based on the...Ch. 4.4 - Money Stock Exercises 97100 are based on the...Ch. 4.4 - Complete the following: The derivative of 1 over a...Ch. 4.4 - Complete the following: The derivative of the...Ch. 4.4 - Say why the following was marked wrong, and give...Ch. 4.4 - Say why the following was marked wrong, and give...Ch. 4.4 - Name two major errors in the following graded test...Ch. 4.4 - Name two major errors in the following graded test...Ch. 4.4 - Formulate a simple procedure for deciding whether...Ch. 4.4 - Give an example of a function f with the property...Ch. 4.4 - Give an example of a function f with the property...Ch. 4.4 - What can you say about the composite of two linear...Ch. 4.5 - In Exercises 1-66, find the derivative of the...Ch. 4.5 - In Exercises 1-66, find the derivative of the...Ch. 4.5 - In Exercises 1-66, find the derivative of the...Ch. 4.5 - In Exercises 1-66, find the derivative of the...Ch. 4.5 - In Exercises 1-66, find the derivative of the...Ch. 4.5 - In Exercises 1-66, find the derivative of the...Ch. 4.5 - 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The 2014 Ebola Outbreak In the first 6 months of...Ch. 4.5 - SAT Scores by Income The following bar graph shows...Ch. 4.5 - SAT Scores by Income The following bar graph shows...Ch. 4.5 - Demographics: Average Age and Fertility The...Ch. 4.5 - Demographics: Average Age and Fertility The...Ch. 4.5 - Epidemics A flu epidemic described in Example 1 in...Ch. 4.5 - Epidemics Another epidemic follows the curve...Ch. 4.5 - Subprime Mortgages during the Housing Bubble...Ch. 4.5 - Subprime Mortgage Debt during the Housing Bubble...Ch. 4.5 - Subprime Mortgages during the Housing Bubble...Ch. 4.5 - Subprime Mortgage Debt during the Housing Bubble...Ch. 4.5 - Population Growth The population of Lower Anchovia...Ch. 4.5 - Population Growth The population of Upper Anchovia...Ch. 4.5 - Radioactive Decay Plutonium 239 has a half-life of...Ch. 4.5 - Radioactive Decay Carbon 14 has a half-life of...Ch. 4.5 - Cellphone Revenues The number of cellphone...Ch. 4.5 - Cellphone Revenues The annual revenue for...Ch. 4.5 - Complete the following: The derivative of e raised...Ch. 4.5 - Complete the following: The derivative of the...Ch. 4.5 - Complete the following: The derivative of 2 raised...Ch. 4.5 - Complete the following: The derivative of the base...Ch. 4.5 - What is wrong with the following?...Ch. 4.5 - What is wrong with the following? ddx22x=(2)22x X...Ch. 4.5 - What is wrong with the following? ddx32x=(2x)32x1...Ch. 4.5 - What is wrong with the following? ddxln(3x21)=16x...Ch. 4.5 - The number N of music downloads on campus is...Ch. 4.5 - The number N of graphing calculators sold on...Ch. 4.5 - Show that the fractional rate of change of the...Ch. 4.5 - Show that the fractional rate of change of f(x) is...Ch. 4.5 - Let A(t) representa quantity growing...Ch. 4.5 - Let A(t) be the amount of money in an account that...Ch. 4.6 - In Exercises 110, find dy/dx, using implicit...Ch. 4.6 - In Exercises 110, find dy/dx, using implicit...Ch. 4.6 - In Exercises 110, find dy/dx, using implicit...Ch. 4.6 - In Exercises 110, find dy/dx, using implicit...Ch. 4.6 - 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Employment An employment research company...Ch. 4.6 - Grades62 A productivity formula for a students...Ch. 4.6 - Grades Repeat Exercise 59 using the following...Ch. 4.6 - Exercises 61 and 62 are based on the following...Ch. 4.6 - Exercises 61 and 62 are based on the following...Ch. 4.6 - Fill in the missing terms: The equation x=y3+y3...Ch. 4.6 - Fill in the missing terms: When x0 in the equation...Ch. 4.6 - Use logarithmic differentiation to give another...Ch. 4.6 - Use logarithmic differentiation to give a proof of...Ch. 4.6 - If y is given explicitly as a function of x by an...Ch. 4.6 - Explain why one should not expect dy/dx tobe a...Ch. 4.6 - If y is a function of x and dy/dx0 atsome point,...Ch. 4.6 - If you are given an equation in x and y such that...Ch. 4 - In Exercises 1-32, find the derivative of the...Ch. 4 - In Exercises 1-32, find the derivative of the...Ch. 4 - In Exercises 1-32, find the derivative of the...Ch. 4 - In Exercises 1-32, find the derivative of the...Ch. 4 - 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Cost OHaganBooks.com has been experiencing a run...Ch. 4 - Revenue At the moment, OHaganBooks.com is selling...Ch. 4 - Revenue Because of ongoing problems with its large...Ch. 4 - Percentage Rate of Change of Revenue The...Ch. 4 - P/E Ratios At the beginning of last week,...Ch. 4 - P/E Ratios Refer to Exercise 64. Jay Campbell, who...Ch. 4 - Percentage Rate of Change of P/E Ratios Refer to...Ch. 4 - Sales OHaganBooks.com decided that the cubic curve...Ch. 4 - Rising Sea Level Upon some reflection, Marjory...Ch. 4 - Website Activity The number of hits on...Ch. 4 - Website Activity The number of hits on...Ch. 4 - Demand and Revenue The price p that...Ch. 4 - Demand and Revenue The price p that...Ch. 4 - Find limt+N(t) forboth models, and interpret the...

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