Explain why the function is differentiable at the given point. Then find the linearization L(x, y) of the function at that point. (a) f(x, y)=1+x ln(xy - 5), (2,3) (b) f(x,y), (1,3) (c) f(x, y) = y + sin(x/y), (0,3)

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.4: Derivatives Of Exponential Functions
Problem 13E
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2. Explain why the function is differentiable at the given point. Then find the
linearization L(x, y) of the function at that point.
(a) f(x, y) =1+x ln(xy 5), (2, 3)
(b) f(x,y), (1,3)
(c) f(x,y) = y + sin(x/y), (0,3)
Transcribed Image Text:2. Explain why the function is differentiable at the given point. Then find the linearization L(x, y) of the function at that point. (a) f(x, y) =1+x ln(xy 5), (2, 3) (b) f(x,y), (1,3) (c) f(x,y) = y + sin(x/y), (0,3)
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