differentiation

Question: If $\sin y = x\sin (a + y),$then $\frac{{dy}}{{dx}} = $

1) $\frac{{{{\sin }^2}(a + y)}}{{\sin (a + 2y)}}$

2) $\frac{{{{\sin }^2}(a + y)}}{{\sin (a + 2y)}}$

3) $\frac{{{{\sin }^2}(a + y)}}{{\sin a}}$

4) $\frac{{{{\sin }^2}(a + y)}}{{\cos a}}$

Solution:

Explanation: Explanation

Implicit-function

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