If , prove that

Given :

To prove :

Formula used : =

=

= 1

If u and v are functions of x,then = u + v

The CHAIN RULE states that the derivative of f(g(x)) is f’(g(x)).g’(x)

.

y =

squaring on both sides

= x + y

Differentiating with respect to x

2y = 1 +

(2y – 1) = 1

=

=