If 3 x+2 y= x then d y d x : - Vidyadip

Question

If $3 x+2 y=\sin x$ then $\frac{d y}{d x}$ :

✓

Answer

$(C) \ \frac{d}{d x}(3 x+2 y)$
$=\frac{d}{d x}(\sin x)$
$\Rightarrow 3+2 \frac{d y}{d x}=\cos x$
$\Rightarrow \frac{d y}{d x}=\frac{\cos x-3}{2}$

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