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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.
$\sin(\text{ax + b})$
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Answer

$\text{Let y} = \sin(\text{ax + b})$
$\therefore \frac{\text{dy}}{\text{dx}} = \cos(\text{ax + b})\frac{\text{d}}{\text{dx}}\text{(ax + b)}$
$= \cos(\text{ax + b)}\text{(a + 0)} = \text{a}\cos\text{(ax + b)}$

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