Continuity and Differentiability — Class 12 Maths Solution

ncert exercise SA NCERT Ex.5.7 ,Q.3,Page 183
Question

$x \cdot \cos x$

Step-by-step Solution

Let y $=$ xcos x
$\Rightarrow$ $\cfrac{{dy}}{{dx}} = x \cdot ( - \sin x) + \cos x = - x\sin x + \cos x$

$\Rightarrow$ $\cfrac{{{d^2}y}}{{d{x^2}}} = - [x\cos x + \sin x] - \sin x = - (x\cos x + 2\sin x)$

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NCERT & Exemplar solution for CBSE Class 12 Mathematics, Continuity and Differentiability. Curated by Sachin Sharma. Free for all students.