Let y = (ax + b) dx = dx (ax + b) = (ax + b) dx (ax + b) = (ax + b)(a + 0) = a (ax + b) therefore dx =a (ax + b)

class 12 maths continuity and differentiability

sin(ax + b)

VAVidaara Admin Asked 8d ago 0 views 0 answers

📘 Continuity and Differentiability NCERT Ex.5.2 ,Q.3,Page 166 SA

sin(ax + b)

Official Solution

VVidaara Team ✓ Verified solution NCERT & Exemplar

Let $y = \sin (ax + b)$

$\Rightarrow$ $\cfrac{{dy}}{{dx}} = \cfrac{d}{{dx}}\sin (ax + b) = \cos (ax + b)\cfrac{d}{{dx}}(ax + b)$
$= \cos (ax + b)(a + 0) = a\cos (ax + b)$

therefore $\frac{dy}{dx}=a\cos (ax + b)$

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