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Continuity And Differentiability

Question

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Find the second order derivatives of the following functions :x cos x

Solution

Let space space space space space straight y equals straight x space cos space straight x therefore space dy over dx equals straight x left parenthesis negative sin space straight x right parenthesis plus cos space straight x.1 equals negative straight x space sin space straight x plus cos space straight x space space space space fraction numerator straight d squared straight y over denominator dx squared end fraction equals negative straight x space cos space straight x minus sin space straight x.1 minus sin space straight x equals negative straight x space cos space straight x minus 2 space sin space straight x

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