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If sin(x + y) = log(x + y), then  \frac{d y}{d x}=

Option: 1

2


Option: 2

-2


Option: 3

1


Option: 4

-1


Answers (1)

best_answer

\begin{aligned} & \cos (x+y)\left(1+\frac{d y}{d x}\right)=\frac{1}{x+y}\left(1+\frac{d y}{d x}\right) \\ & \Rightarrow\left[\cos (x+y)-\frac{1}{x+y}\right]\left(1+\frac{d y}{d x}\right)=0 \\ & \Rightarrow \frac{d y}{d x}=-1 \end{aligned}

Hence (D) is correct answer

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avinash.dongre

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