Let f(x, y) 2x²y² 4 x +y = (x, y) = (0,0) , (x, y) = (0,0) Show that the first order partial derivatives exist at (0, 0) but the function is not differentiable at (0, 0).
Let f(x, y) 2x²y² 4 x +y = (x, y) = (0,0) , (x, y) = (0,0) Show that the first order partial derivatives exist at (0, 0) but the function is not differentiable at (0, 0).
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.
Chapter9: Multivariable Calculus
Section9.3: Maxima And Minima
Problem 20E
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