Find the first partial derivatives of the function. z = xsin(xy)

avissidep 2021-01-15 Answered
Find the first partial derivatives of the function. z=xsin(xy)
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Expert Answer

Macsen Nixon
Answered 2021-01-16 Author has 117 answers
f(x,y)=xsin(xy)
To find fx we trat y as constant and differentiate withe respect to x
fx=sin(xy)+xycos(xy)
To find fy we treat x as constant and differentiate with respect to y
fy=x2cos(xy)
Result
fx(x,y)=sin(xy)+xycos(xy)
fy=x2cos(xy)
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