Question

you are smart if you solved this:
A CURVE HAS THE PARAMETRIC EQUATIONS OF;
X=t-3/t AND Y=t^2+4/t
DETERMINE;
i ). dy/dx .., ii ). d^2y/dx^2

how much time you'll take to do it.. please right down the time you took when you solve it.

Answer 1

\[\frac{ dy }{ dx }=\frac{ \frac{ dy }{ dt } }{ \frac{ dx }{ dt } }\]

dx/dt= 1+3/t^2
dy/dt= 2t-4/t^2

So
\[\frac{ dy }{ dx }=\frac{ {2t -\frac{ 4 }{ t^2 }} }{{1+\frac{ 3 }{ t^2 }} }\]

Answer 2

so, you still remember how to do that, congratulation for doing it.

Answer 3

I did double check online before doing it

Answer 4

but u did it anyway