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. If , show that

Philoid · Accepted Answer

It is given that

Now,

Similarly,

Let us consider,

Taking Log on both sides, we get

Therefore,

……………………………..(1)

Now, Consider

Taking Log on both sides, we get

Therefore,

……………..(2)

So, from equation (1) and (2), we get

Therefore, L.H.S. = R.H.S.

Hence Proved