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Continuity and Differentiability — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsContinuity and Differentiability1 Mark
MCQ
If $y=5 \cos x-3 \sin x$, then $\frac{d^2 y}{d x^2}$ is equal to
  • A
    $-y$
  • B
    $y$
  • C
    $25 y$
  • D
    $9 y$
✓

Answer

$\begin{array}{l}\text {We have, } y=5 \cos x-3 \sin x \\ \Rightarrow \frac{d y}{d x}=-5 \sin x-3 \cos x \\ \Rightarrow \frac{d^2 y}{d x^2}=-5 \cos x+3 \sin x=-y\end{array}$

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