a. Explanation Given: It is given in the question that function of f(x) is f ( x ) = e x Concept Used: In this we must use the concept of derivatives. Wemust use the formula of lim x → 0 e x − 1 x = 1 . Calculation: The graph of the function f ( x ) = e x is shown in the figure. Notice that the graph crosses the y − axis with a slope of 1 b. To determine Find which type of function is f ( x ) = e x and g ( x ) = x e .Compare the differentiation . c. To determine Find whether the two function in part (b) grows more rapidly when x is large.

Bundle: Biocalculus: Calculus, Probability, And Statistics For The Life Sciences + Webassign Printed Access Card For Stewart/day's Biocalculus: Calculus For Life Sciences, 1st Edition, Multi-term

1st Edition

ISBN: 9781305779037

Author: James Stewart, Troy Day

Publisher: Cengage Learning

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Differential Equations

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Chapter 3, Problem 2E

To determine

Draw the graph of the function f(x)=ex .Show the facts.

To determine

Find which type of function is f(x)=ex and g(x)=xe .Compare the differentiation.

To determine

Find whether the two function in part (b) grows more rapidly when x is large.

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Chapter 3, Problem 1E

Chapter 3, Problem 3E

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Bundle: Biocalculus: Calculus, Probability, And Statistics For The Life Sciences + Webassign Printed Access Card For Stewart/day's Biocalculus: Calculus For Life Sciences, 1st Edition, Multi-term

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Draw the graph of the function f ( x ) = e x .Show the facts.

Solution Summary: The author illustrates how the graph of the function f(x)=ex crosses the y axis with a slope of 1.

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Draw the graph of the function f(x)=ex .Show the facts.

Find which type of function is f(x)=ex and g(x)=xe .Compare the differentiation.

Find whether the two function in part (b) grows more rapidly when x is large.

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