Check my answer for implicit function problem?

[asdf12312]

Homework Statement

Use the IMPLICIT FUNCTION THEOREM (and not implicit differentiation) to find dy/dx at the point (1,1) when
y^5 + x^2*y^3 − y*e^(x^2) = 1.

Homework Equations

f(x,y)=0
dy/dx = - [f(x)/f(y)] = -[d/dx(f(x,y) / d/dy(f(x,y)]

The Attempt at a Solution

solving for f(x,y), i brought the 1 to the left side so the equation equaled 0, i.e y^5 + x^2*y^3 − y*e^(x^2)-1=0

then d/dx of the function I got 2xy^3 - 2xye^(x^2)
d/dy = 5y^4 + 3x^2y^2 - e^(x^2)

so dy/dx was just -[d/dx / d/dy] = -[2xy^3 - 2xye^(x^2) / 5y^4 + 3x^2y^2 - e^(x^2)]
for the point (1,1) i just plugged in x and y into the above equation, and got 0.65 as my answer.

 

[janhaa]

I got:

dy/dx = -1.41

 

[asdf12312]

can you show your work? did you get the same equation for dy/dx as me? if i got mine wrong it was probably the ye^(x^2) part, since i was kinda confused how to work it. for d/dx, i got 2xye^(x^2), and for d/dy i got e^(x^2).

 

[janhaa]

sorry, my mistake, I also got

dy/dx = 0,65