Limits And Derivatives

  • Question
    CBSEENMA11013252

    Find the derivatives of the following functions :

    5 sin x - 6 cos x +7

    Solution

    Let y = 5 sin x - 6 cos x +7
    Differntiating both sides w.r.t. x, we get.
    space space space space space space space space space space space space space space space dy over dx equals space straight d over dx left parenthesis 5 space sin space straight x space minus space 6 space cos space straight x space plus space 7 right parenthesis space equals space 5 space straight d over dx left parenthesis sin space straight x right parenthesis space minus space 6 straight d over dx cos space straight x space plus space straight d over dx left parenthesis 7 right parenthesis
                   = 5cos x - 6(-sin x)+0 - 5 cos x + 6 sin x

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