Find the second partial derivatives. f(x,y)=x^{4}y-3x^{5}y^{2}f_{xx}(x,y)=f_{xy}(x,y)=f_{yx}(x,y)=f_{yy}(x,y)

Tabansi 2021-11-08 Answered

Find all the second partial derivatives.
f(x,y)=x4y3x5y2
fxx(x,y)=
fxy(x,y)=
fyx(x,y)=
fyy(x,y)=

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Expert Answer

tabuordy
Answered 2021-11-09 Author has 91 answers

Step 1
Given:
f(x,y)=x4y3x5y2
Step 2
f(x,y)=x4y3x5y2
fx(x,y)=x(f(x,y))=4x315x4y2
fxy(x,y)=y(fx)
=y(4x315x4y2)
=y(4x3)y(15x4y2)
=015x4(2y)
fxy(x,y)=30x4y
fxx=x(fx)
=x(4x315x4y2)
=x(4x3)x(15x4y2)
fxx=12x260x3y2
fy=y(x4y3x5y2)
=y(x4y)y(3x5y2)
=x43x5(2y)
fy=x46x5y
fyx=x(fy)

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Jeffrey Jordon
Answered 2021-11-24 Author has 2027 answers

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