6.(3.1) (1) Let f(x, y) = xy³+x²+ y². Find fxx, fxy, fyy and evaluate them at x0 = (2,-1). Y (2) Show that f(x, y) = arctan is harmonic. x

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.
Chapter6: Applications Of The Derivative
Section6.3: Implicit Differentiation
Problem 12E
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6.(3.1) (1) Let f(x,y) = xy³+x²+y¹. Find fxx, fxy, fyy and evaluate them at x0 = (2,-1).
Y
(2) Show that f(x, y) = arctan
is harmonic.
x
Transcribed Image Text:6.(3.1) (1) Let f(x,y) = xy³+x²+y¹. Find fxx, fxy, fyy and evaluate them at x0 = (2,-1). Y (2) Show that f(x, y) = arctan is harmonic. x
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