PUC Karnataka Science Class 12Department of Pre-University Education, Karnataka
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Solution for Find the Second Order Derivatives of the Following Function X Cos X ? - PUC Karnataka Science Class 12 - Mathematics

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Question

Find the second order derivatives of the following function x cos x ?

Solution

We have,

\[y = x \cos x\]
\[\text { Differentiating w . r . t . x, we get }\]
\[\frac{d y}{d x} = \cos x - x\sin x\]
\[\text { Differentiating again w . r . t . x, we get }\]
\[\frac{d^2 y}{d x^2} = - \sin x - \sin x - x\cos x\]
\[ = - \left( 2\sin x + x\cos x \right)\]

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Solution Find the Second Order Derivatives of the Following Function X Cos X ? Concept: Simple Problems on Applications of Derivatives.
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