Let g(u) be a differentiable function, and let f(x, y) = g(x^2,y^2)   Find the direction of maximal increase of f at the point (1, 1) in terms of g'

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.
Chapter5: Graphs And The Derivative
Section5.1: Increasing And Decreasing Functions
Problem 44E: Where is the function defined by f(x)=ex increasing? Decreasing? Where is the tangent line...
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Let g(u) be a differentiable function, and let f(x, y) = g(x^2,y^2)

 

Find the direction of maximal increase of f at the point (1, 1) in terms
of g'

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