Find the partial derivative for the function a. b. Əz C. əz O2 = -5y² sin(x² + y²) e. d. əz dy +-5y6 sin(x² + y²) 3 - 5y³ sin(x² + y²) = 5y6 cos(x+16) 37 = Sy² cos(x³ + y²) z = cos(x² + y²)

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 23E: Find derivatives of the functions defined as follows. fz=2z+e-z22
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əz
Find the partial derivative for the function ² = cos(x³ + y²)
əz
a.
b. Əz
C.
dy
e.
d. əz
37 = 5y6 sin(x³ + 16 )
dy
əz
--5y² sin(x² + y²)
=
Əy
- - 5y³ sin(x² + y²)
= Sy² cos(x³ +16)
= Sy² cos(x² + y²)
Transcribed Image Text:əz Find the partial derivative for the function ² = cos(x³ + y²) əz a. b. Əz C. dy e. d. əz 37 = 5y6 sin(x³ + 16 ) dy əz --5y² sin(x² + y²) = Əy - - 5y³ sin(x² + y²) = Sy² cos(x³ +16) = Sy² cos(x² + y²)
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