Consider this multivariable function. f(x,y)=ye^(3x)+y^2 a) Find f_y(x,y) b) What is value of f_(xx)(0,3)?

coexpennan 2020-11-20 Answered
Consider this multivariable function. f(x,y)=ye3x+y2
a) Find fy(x,y)
b) What is value of f×(0,3)?
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Expert Answer

avortarF
Answered 2020-11-21 Author has 113 answers

a) fy(x,y)=fy=y[ye3x+y2]
fy(x,y)=8e3x+2y
b) fx=fx=x[ye3x+y2]
=3e3xy+0
fx=3ye3x
2fx2=fxy(x,y)=x[3ye3x]
=9ye3x+0
fxx(x,y)=9ye3x
fxx(0,3)=9×3e0=27

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