Find all the second order partial derivatives of the given function. 10) f(x, y) = (x2 + y2)7

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
Section9.2: Partial Derivatives
Problem 28E
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Find all the second order partial derivatives of the given function.
10) f(x, y) = (x2 + y2)?
A) fxx(x, y) = 168x2(x2 + y2)5 +14(x2 + y2)6;
fyy(x, y) = 168y2(x2 + y2)5 + 14(x2 + y2)6;
fxy(x, y) = fyx(x, y) = 168xy(x2 + y2)5 + 14(x2 + y2)6
B) fxx(x, y) = 168x2(x2 + y2)5 + 14(x2 + y2)6;
fyy(x, y) = 168y2(x2 + y2)5 + 14(x2 + y2)6;
fxy(x, y) = fyx(x, y) = 168xy(x2 + y2)5+ (x2 + y2)6
C) fxx(x, y) = 168x2(x2 + y2)5+ 14(x2 + y2)6;
fyy(x, y) = 168y2(x2 + y2)5+ 14(x2 + y2)6;
fxy(x, y) = fyx(x, y) = 168xy(x2 + y2)6+ (x2 + y2)?
D) fxx(x, y) = 168x2(x2 + y2)5 +14(x2 + y2)6;
fyy(x, y) = 168y2(x2 + y2)5 + 14(x2 + y2)6;
fxy(x, y) - fyx(x, y) = 168xy(x2 + y2)5+ 14xy(x2+x-6
Transcribed Image Text:Find all the second order partial derivatives of the given function. 10) f(x, y) = (x2 + y2)? A) fxx(x, y) = 168x2(x2 + y2)5 +14(x2 + y2)6; fyy(x, y) = 168y2(x2 + y2)5 + 14(x2 + y2)6; fxy(x, y) = fyx(x, y) = 168xy(x2 + y2)5 + 14(x2 + y2)6 B) fxx(x, y) = 168x2(x2 + y2)5 + 14(x2 + y2)6; fyy(x, y) = 168y2(x2 + y2)5 + 14(x2 + y2)6; fxy(x, y) = fyx(x, y) = 168xy(x2 + y2)5+ (x2 + y2)6 C) fxx(x, y) = 168x2(x2 + y2)5+ 14(x2 + y2)6; fyy(x, y) = 168y2(x2 + y2)5+ 14(x2 + y2)6; fxy(x, y) = fyx(x, y) = 168xy(x2 + y2)6+ (x2 + y2)? D) fxx(x, y) = 168x2(x2 + y2)5 +14(x2 + y2)6; fyy(x, y) = 168y2(x2 + y2)5 + 14(x2 + y2)6; fxy(x, y) - fyx(x, y) = 168xy(x2 + y2)5+ 14xy(x2+x-6
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Publisher:
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