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