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..
Hello, Ley!
Assume that the equations in each part define x and y implicitly as differentiable functions, .
Find the slope of the curve at the given value of
Differentiate implicitly.
. . .
.[3]
Substitute into [1]:
. .
Substitute into [2]:
. .
We have: .
Substitute into [3]: .
At the point , the slope is