If w = f(x,y), where x=e cos 0 and y=e sin 0, show that razw azw a2w 02w дх2 т дуг + + dr2 дө2 = e-2r

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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If w = f(x,y), where x=e cos 0 and y=e sin 0, show that
razw
azw
a2w 02w
дх2 т дуг
+
+
dr2 дө2
= e-2r
Transcribed Image Text:If w = f(x,y), where x=e cos 0 and y=e sin 0, show that razw azw a2w 02w дх2 т дуг + + dr2 дө2 = e-2r
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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,