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CONTINUITY AND DIFFERENTIABILITY — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsCONTINUITY AND DIFFERENTIABILITY2 Marks
Question
Differentiate the functions with respect to x.
$\sin(\text{x}^{2} + 5)$
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Answer

$\text{Let y} = \sin(\text{x}^{2} + 5)$
$\therefore \frac{\text{dy}}{\text{dx}} = \cos(\text{x}^{2} + 5)\frac{\text{d}}{\text{dx}}(\text{x}^{2} + 5)$$ = \cos (\text{x}^{2} + 5)(2\text{x} + 0) = 2\text{x}\cos(\text{x}^{2} +5)$

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