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Continuity and Differentiability — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsContinuity and Differentiability1 Mark
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.
$\frac{\cos x-3}{2}$
(C) $\frac{d}{d x}(3 x+2 y)=\frac{d}{d x}(\sin x)$
$
\begin{array}{l}
\Rightarrow \quad 3+2 \frac{d y}{d x}=\cos x \\
\Rightarrow \quad \frac{d y}{d x}=\frac{\cos x-3}{2}
\end{array}
$

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