Q20 of 285 Page 409

Find , when:
If y = x sin y , prove that .

There is correction in question …. Prove that should be
instead of to get the required answer.

Let us differentiate the whole equation w.r.t x

Formula :

According to chain rule of differentiation

Therefore ,

Find , when:

tan (x + y) + tan (x — y) = 1

Find , when:

If xy = tan (xy), show that .

Find , when:

If y log x = (x — y), prove that .

Find , when:If y = x sin y , prove that .There is correction in question …. Prove that should be instead of to get the required answer.