If x and y are connected parametrically by the equations given in without eliminating the parameter, Find dy/dx.

Question

If x and y are connected parametrically by the equations given in without eliminating the parameter, Find dy/dx. x = 2at 2 , y = at 4

Philoid · Accepted Answer

It is given that

x = 2at², y = at⁴

So, now

= 2a.2t

= 4at ………… (1)

And

= a.4.t³

= 4at³………… (2)

Therefore, form equation (1) and (2). we get

Hence, the value of is t²