Find all the second partial derivatives. f(x,y)=x^{6}y-2x^{3}y^{2}f_{xx}(x,y)=f_{xy}(x,y)=f_{yx}(x,y)

lilyta79jd

lilyta79jd

Answered question

2021-11-19

Find all the second partial derivatives.
f(x,y)=x6y2x3y2
fxx(x,y)=
fxy(x,y)=
fyx(x,y)=
fyy(x,y)=

Answer & Explanation

Fesion

Fesion

Beginner2021-11-20Added 24 answers

Step 1
Given f(x,y)=x6y2x3y2
Step 2
fx=(fx)x
=(6x5y6x2y2)x
=6y(x5)x6y2[2x]
fxx=6xy[5x32y]
fxy=6x2(x32y)
fyx=6x2(x32y)
fyy=4x3

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