Explanation Given information: The area of the circle of radius r is A = π r 2 . Formula used: d d x ( x n ) = n x n − 1 Calculation: A = π r 2 (Given) Differentiating A with respect to ‘r’, we get d A d r = d d r ( π r 2 ) = π d d r ( To determine (b) To state: The representation of d A d r geometrically. To determine (c) To explain: The observations made in d A d r = 2 π r using the difference quotient.

Applied Calculus, 6e WileyPLUS + Loose-leaf

6th Edition

ISBN: 9781119408901

Author: Deborah Hughes-Hallett, Andrew M. Gleason, Patti Frazer Lock, Daniel E. Flath

Publisher: Wiley (WileyPLUS Products)

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Question

Chapter 3.1, Problem 69P

To determine

(a)

To find:

dAdr

To determine

(b)

To state:

The representation of dAdr geometrically.

To determine

(c)

To explain:

The observations made in dAdr=2πr using the difference quotient.

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Chapter 3.1, Problem 68P

Chapter 3.1, Problem 70P

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Chapter 3 Solutions

Applied Calculus, 6e WileyPLUS + Loose-leaf

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(a) To find: d A d r

Solution Summary: The author states that the area of the circle of radius r is A=pi r2.

Concept explainers

Videos

(a)

To find:

dAdr

(b)

To state:

The representation of dAdr geometrically.

(c)

To explain:

The observations made in dAdr=2πr using the difference quotient.

Want to see the full answer?

Chapter 3 Solutions

(a) To find: d A d r

Solution Summary: The author states that the area of the circle of radius r is A=pi r2.

Concept explainers

Videos

(a) To find: dAdr

(b) To state: The representation of dAdr geometrically.

(c) To explain: The observations made in dAdr=2πr using the difference quotient.

Want to see the full answer?

Chapter 3 Solutions

(a)

To find:

dAdr

(b)

To state:

The representation of dAdr geometrically.

(c)

To explain:

The observations made in dAdr=2πr using the difference quotient.