If `sin(x+y)=log(x+y)` , then `(dy)/(dx)=`
(a) 2
(b) -2
(c) 1
(d) `-1`

Explanation

To solve the equation \( \sin(x+y) = \log(x+y) \) and find \( \frac{dy}{dx} \), we will use implicit differentiation. Here are the steps:

### Step 1: Differentiate both sides with respect to \( x \)
We start with the equation:
\[ \sin(x+y) = \log(x+y) \]
Differentiating both sides with respect to \( x \):
...