# Math Help - implicit differenciate

1. ## implicit differenciate

I need help with these two problems! I keep working them out and getting wrong answers! BAH!

1.) Use implicit differentiation to find the equation of the tangent line to the curve at the point . The equation of this tangent line can be written in the form where is:
and where is:

AND

I keep got 0 for this one and its not right! :S

If and , find by implicit differentiation.

2. Differentiating implicitly:

Often, students forget the product rule when using implicit.

$3xy^{2}y'+y^{3}+xy'+y=0$

$y'=\frac{-y(y^{2}+1)}{x(3y^{2}+1)}$

Now, plug in your given points to find the slope.

Next, use your given points and the slope in y=mx+b to solve for b. You're done.

3. Thank you so much! I didn't differentiate correctly!