I have a parametrically defined curve where i am trying to find the second derivative.
here is the problem:
I need to find the equation for the tangent line to the curve at the point defined by t = 1
the dirivitive of x =
the dirivitive of y =
then, i evaluate t = 1 by plugging it into
Sorry having some formatting issues below i hope you can read it..
after plugging in 1 for t
I get a slope of -1
so, then i need to take a second derivative
for the numerator its just 1
for the denominator its the derivative of x =
if so how do i evaluate that?
Hi plato - oh, lets see if i got this right..
so i take the derivative of y prime
over the derivative of x
because i dont need to take the 2nd derivative of denominator.
so i end up with the numerator as the same as the denominator?
then, i take the second derivitive of that in respect to x but i cant do a
fraction over a fraction in latex.
taking the derivitive of in respect to x
Which is exactly as the same as
So they cancel out for