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)
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)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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