Limits and Derivatives

Limits and Derivatives

Question

Find the derivatives of the following functions :


space space space space fraction numerator sin left parenthesis straight x plus straight a right parenthesis over denominator cos space straight x end fraction

Answer

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Differentiating both sides w.r.t.   x,  we  get

space space space space space space space space space space space dy over dx equals straight d over dx left square bracket cos space straight a space tan space straight x space plus space sin space straight a right square bracket space equals space cos space straight a space straight d over dx tan space straight x space plus straight d over dx sin space straight a
          = cos a sec2x +0 = cos a sec2x

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