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

MCQ

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

A
$\frac{\cos x+3}{2}$
B
$\frac{\cos x-2}{3}$
✓
$\frac{\cos x-3}{2}$
D
$\frac{\cos x+2}{3}$

✓

Answer

Correct option: C.

$\frac{\cos x-3}{2}$

$\Rightarrow 3+2 \frac{d y}{d x}=\cos x$
$\Rightarrow \frac{d y}{d x}=\frac{\cos x-3}{2}$

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