f (x, y) = sen (r² – 0²) + In(r® + 0), Vr2 + y? A con arctan

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 1YT
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Use the chain rule to compute the partial derivatives of the function

f(x, y) = sin2 (r2 − θ2 ) + ln(rθ + θ), with  r =

√x2 + y2
  ∧  θ = arctan (y/x).
f (x, y)
= sen?(r2 – 0²) + In(r0 + 0),
Vr? + y? A
con
arctan
Transcribed Image Text:f (x, y) = sen?(r2 – 0²) + In(r0 + 0), Vr? + y? A con arctan
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