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

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

Advanced Engineering Mathematics
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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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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