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Continuity And Differentiability

Question
CBSEENMA12034888

Differentiate the following w.r.t.x :cos left parenthesis sin space straight x right parenthesis

Solution
Let space space space space space straight y equals cos left parenthesis sin space straight x right parenthesis
therefore space dy over dx equals straight d over dx left square bracket cos left parenthesis sin space straight x right parenthesis right square bracket equals negative sin left parenthesis sin space straight x right parenthesis. straight d over dx left parenthesis sin space straight x right parenthesis equals negative sin left parenthesis sin space straight x right parenthesis. cos space straight x
therefore space dy over dx equals negative cos space straight x. sin left parenthesis sin space straight x right parenthesis

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