Hello everyone:

Could someone please tell me if this is correct?

Find the equation of the tangent plane at the given point:

z=ye^(x/y) at the point (1,1,e)

df=fx(a,b)dx+fy(a,b)dy

fx=ye^(x/y)(e^(e/y))(1/y)

fy=ye^(x/y)(e^(x/y))(xy^-2)

z=ye^(x/y)+ye^(x/y)(e^(x/y))(1/y)(x-1)+y^e/y(e^x/y)(xy^-2)(y-1)

fx(1,1)=7.39

fy(1,1)=7.39

Thank you very much