Implicit differentiation & parametricequations

Assume that the equations in each part define x and y implicitly as differentiable functions x=f(t),y=g(t), find the slope of the curve x=f(t),y=g(t) at the given value of t.

a) x^2-2tx+2t^2=4, 2y^3-3t^2=4, t=2

I got dy/dx=2+3t/4y.2x but honestly i am confused and I Reallly need help, Please help me thanx in advance..

1 Attachment(s)

Re: Implicit differentiation & parametricequations

Quote:

Originally Posted by

**Ley** Assume that the equations in each part define x and y implicitly as differentiable functions x=f(t),y=g(t), find the slope of the curve x=f(t),y=g(t) at the given value of t.

a) x^2-2tx+2t^2=4, 2y^3-3t^2=4, t=2

http://mathhelpforum.com/attachment....1&d=1349040059

Re: Implicit differentiation & parametricequations

Hello, Ley!

Differentiate implicitly.

. . .

.[3]

Substitute into [1]:

. .

Substitute into [2]:

. .

We have: .

Substitute into [3]: .

At the point , the slope is