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Continuity And Differentiability

Question
CBSEENMA12034923

Differentiate the following functions w.r.t.x: log left parenthesis cos space 5 straight x right parenthesis

Solution
Let space space space space space straight y equals log left parenthesis cos space 5 straight x right parenthesis
therefore space dy over dx equals fraction numerator 1 over denominator cos space 5 straight x end fraction. straight d over dx left parenthesis cos space 5 straight x right parenthesis equals fraction numerator 1 over denominator cos space 5 straight x end fraction. left parenthesis negative sin space 5 straight x right parenthesis. straight d over dx left parenthesis 5 straight x right parenthesis
space space space space space space space space space space space space space equals negative fraction numerator sin space 5 straight x over denominator cos space 5 straight x end fraction.5 equals negative 5 space tan space 5 straight x

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