Question 885298
Are you allowed to eliminate t and then arrange into {{{y=expressionOnlyInX}}}, and then take derivative {{{dy/dx}}}?


You showed two different pair of x & y equations.

I am working with the first pair!


Try this:  {{{dx/dt=2t}}}.


{{{dy/dt=(3/2)t^(3/2-2/2)=(3/2)t^(1/2)}}}----(this is not appearing properly on the site)
The ratio of the y one to the x one could be {{{dy/dx}}}.


{{{dy/dx=(dy/dt)/(dx/dt)}}}


{{{((3/2)t^(1/2))/(2t)}}}----(again this does not fully show on the site)


{{{(3/4)t^(1/2-1)}}}


{{{(3/4)t^(-1/2)}}}


{{{(3/(4t^(1/2)))}}}
OR
{{{highlight_green(dy/dx=(3/(4sqrt(t))))}}}