Explanation Given: Function f ( x , y ) = x 3 + 3 y 2 . Calculation: Function is given as f ( x , y ) = x 3 + 3 y 2 . Differentiate f ( x , y ) with respect to x , we get f x ( x , y ) = ∂ ∂ x ( x 3 + 3 y 2 ) f x ( x , y ) = ∂ ∂ x ( x 3 ) + ∂ ∂ x ( 3 y 2 ) f x ( x , y ) = ∂ ∂ x ( x 3 ) + 3 y 2 ∂ ∂ x ( 1 ) f x ( x , y ) = ( 3 x 2 ) + 3 y 2 ( 0 ) f x ( x , y ) = 3 x 2 + 3 y 2 Differentiate f ( x , y ) with respect to y , we get f y ( x , y ) = ∂ ∂ y ( x 3 + 3 y 2 ) f y ( x , y ) = ∂ ∂ y ( x 3 ) + ∂ ∂ y ( 3 y 2 ) f y ( x , y ) = x 3 ∂ ∂ y ( 1 ) + 3 ∂ ∂ y ( y 2 ) f y ( x , y ) = x 3 ( 0 ) + 3 ( 2 y ) f y ( x , y ) = 6 y

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 8.4, Problem 14P

To determine

To find f(1,2), fx(1,2) and fy(1,2) for the below function.

f(x,y)=x3+3y2

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Chapter 8.4, Problem 13P

Chapter 8.4, Problem 15P

Chapter 8 Solutions

Applied Calculus, 6e WileyPLUS + Loose-leaf

Ch. 8.1 - Prob. 1P Ch. 8.1 - Prob. 2P Ch. 8.1 - Prob. 3P Ch. 8.1 - Prob. 4P Ch. 8.1 - Prob. 5P Ch. 8.1 - Prob. 6P Ch. 8.1 - Prob. 7P Ch. 8.1 - Prob. 8P Ch. 8.1 - Prob. 9P Ch. 8.1 - Prob. 10P

Ch. 8.1 - Prob. 11P Ch. 8.1 - Prob. 12P Ch. 8.1 - Prob. 13P Ch. 8.1 - Prob. 14P Ch. 8.1 - Prob. 15P Ch. 8.1 - Prob. 16P Ch. 8.1 - Prob. 17P Ch. 8.1 - Prob. 18P Ch. 8.1 - Prob. 19P Ch. 8.1 - Prob. 20P Ch. 8.1 - Prob. 21P Ch. 8.1 - Prob. 22P Ch. 8.1 - Prob. 23P Ch. 8.1 - Prob. 24P Ch. 8.1 - Prob. 25P Ch. 8.1 - Prob. 26P Ch. 8.1 - Prob. 27P Ch. 8.1 - Prob. 28P Ch. 8.1 - Prob. 29P Ch. 8.1 - Prob. 30P Ch. 8.2 - Prob. 1P Ch. 8.2 - Prob. 2P Ch. 8.2 - Prob. 3P Ch. 8.2 - Prob. 4P Ch. 8.2 - Prob. 5P Ch. 8.2 - Prob. 6P Ch. 8.2 - Prob. 7P Ch. 8.2 - Prob. 8P Ch. 8.2 - Prob. 9P Ch. 8.2 - Prob. 10P Ch. 8.2 - Prob. 11P Ch. 8.2 - Prob. 12P Ch. 8.2 - Prob. 13P Ch. 8.2 - Prob. 14P Ch. 8.2 - Prob. 15P Ch. 8.2 - Prob. 16P Ch. 8.2 - Prob. 17P Ch. 8.2 - Prob. 18P Ch. 8.2 - Prob. 19P Ch. 8.2 - Prob. 20P Ch. 8.2 - Prob. 21P Ch. 8.2 - Prob. 22P Ch. 8.2 - Prob. 23P Ch. 8.2 - Prob. 24P Ch. 8.2 - Prob. 25P Ch. 8.2 - Prob. 26P Ch. 8.2 - Prob. 27P Ch. 8.2 - Prob. 28P Ch. 8.2 - Prob. 29P Ch. 8.2 - Prob. 30P Ch. 8.2 - 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To find f ( 1 , 2 ) , f x ( 1 , 2 ) and f y ( 1 , 2 ) for the below function. f ( x , y ) = x 3 + 3 y 2

Solution Summary: The author calculates the function f(x,y)=x3+3

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To find f(1,2), fx(1,2) and fy(1,2) for the below function.

f(x,y)=x3+3y2

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Chapter 8 Solutions

To find f ( 1 , 2 ) , f x ( 1 , 2 ) and f y ( 1 , 2 ) for the below function. f ( x , y ) = x 3 + 3 y 2

Solution Summary: The author calculates the function f(x,y)=x3+3

Videos

To find f(1,2), fx(1,2) and fy(1,2) for the below function. f(x,y)=x3+3y2

Want to see the full answer?

Chapter 8 Solutions

To find f(1,2), fx(1,2) and fy(1,2) for the below function.

f(x,y)=x3+3y2