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CONTINUITY AND DIFFERENTIABILITY — MATHS STD 12 Science — Question

Rajasthan BoardEnglish MediumSTD 12 ScienceMATHSCONTINUITY AND DIFFERENTIABILITY2 Marks
Question
Differentiate the functions with respect to x.
$\cos(\sqrt{\text{x})}$
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Answer

$\text{Let y} =\cos(\sqrt{\text{x})}$
$\therefore \frac{\text{dy}}{\text{dx}}= -\sin\sqrt{\text{x}}\frac{\text{d}}{\text{dx}}\sqrt{\text{x}} = -\sin\sqrt{\text{x}}.\frac{1}{2}(\text{x})^{\frac{-1}{2}}=\frac{-\sin\sqrt{\text{x}}}{2\sqrt{\text{x}}}$

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