Find the derivatives of the following functions :sin x cos x fr
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    Limits and Derivatives

    Multiple Choice QuestionsShort Answer Type

    71.

    Find the derivatives of the following functions :

    5 sec x + 4 cos x

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    72.

    Find the derivatives of the following functions :

    sin x cos x

    Let y sin x cos x 

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


    space space space space space space space space space space space space space space space space space space space space space space space space dy over dx space equals space straight d over dx left parenthesis sin space straight x space cos space straight x space right parenthesis space equals space sin space straight x space straight d over dx left parenthesis cos space straight x right parenthesis space plus space cos space straight x straight d over dx left parenthesis sin space straight x right parenthesis

    space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals space sin space straight x left parenthesis negative sin space straight x right parenthesis space plus space cos space straight x left parenthesis cos space straight x right parenthesis space equals space minus space sin squared straight x plus cos squared straight x space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals space cos squared straight x minus sin squared straight x equals cos 2 straight x

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    73.

    Find the derivatives of the following functions :

    2 tan x - 7 sec x

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    74. Find the derivatives of the following functions :

    space space space space space space space space fraction numerator sec space straight x space minus 1 over denominator sec space straight x space plus 1 end fraction
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    75. 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
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    76. Find the derivatives of the following functions :


    (ax2+sin x) (p + q cos x)
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    77. Find the derivatives of the following functions :


    "<pre  
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    78. Find the derivatives of the following functions :

    (x + sec x)(x - tan x)
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    79. Find the derivatives of the following functions :

    space space space space space space space space space space space space space space space space space space fraction numerator straight x over denominator 1 plus tan space straight x end fraction
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    80.

    Evaluate the following limits :


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