a. Explanation Given: z = e x y Where, x = u − v , y = u + v Calculation: To find the partial derivatives ∂ z ∂ u , ∂ z ∂ v , where z = e x y Where, x = u − v , y = u + v , first lets express z in terms of u and v , as z = e ( u − v ) ( u + v ) = e u 2 − v 2 Now, to find ∂ z ∂ u differentiate above with respect to u treating v as constant, as ∂ z ∂ u = ∂ ∂ u ( e u 2 − v 2 ) = e u 2 − v 2 ∂ ∂ u ( u 2 − v 2 ) = e u 2 b. To determine To find the partial derivatives ∂ z ∂ u , ∂ z ∂ v , where z = e x y Where, x = u − v , y = u + v

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Author: SMITH KARL J, STRAUSS MONTY J, TODA MAGDALENA DANIELE

Publisher: Kendall Hunt Publishing

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Chapter 11.5, Problem 10PS

To determine

To find the partial derivatives ∂z∂u,∂z∂v , where

z=exy

Where, x=u−v,y=u+v

To determine

To find the partial derivatives ∂z∂u,∂z∂v , where

z=exy

Where, x=u−v,y=u+v

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Chapter 11.5, Problem 9PS

Chapter 11.5, Problem 11PS

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To find the partial derivatives ∂ z ∂ u , ∂ z ∂ v , where z = e x y Where, x = u − v , y = u + v

Solution Summary: The author explains how to find the partial derivatives partial v, where z=exy and x=u-v+v.

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To find the partial derivatives ∂z∂u,∂z∂v , where z=exy Where, x=u−v,y=u+v

To find the partial derivatives ∂z∂u,∂z∂v , where z=exy Where, x=u−v,y=u+v

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Chapter 11 Solutions

To find the partial derivatives ∂z∂u,∂z∂v , where

z=exy

Where, x=u−v,y=u+v

To find the partial derivatives ∂z∂u,∂z∂v , where

z=exy

Where, x=u−v,y=u+v