Find the derivatives of the following functions :(ax2+sin x) (p
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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

    123 Views
    Answer
    73.

    Find the derivatives of the following functions :

    2 tan x - 7 sec x

    114 Views
    Answer
    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
    104 Views
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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
    101 Views
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    76. Find the derivatives of the following functions :


    (ax2+sin x) (p + q cos x)

    Let y = (ax2+sin x) (p + q 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 space space space space space space dy over dx equals straight d over dx left square bracket ax squared space plus sin space straight x right square bracket space straight d over dx left parenthesis straight p plus straight q space cos space straight x right parenthesis space plus space left parenthesis straight p space plus space straight q space cos space straight x right parenthesis space straight d over dx space left parenthesis ax squared plus sinx 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 equals space left parenthesis ax squared plus sin space straight x right parenthesis space left square bracket 0 plus straight q left parenthesis negative sin space straight x right parenthesis right square bracket plus left parenthesis straight p plus straight q space cos space straight x 0 left square bracket 2 ax space plus cos space straight x right square bracket 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 minus straight q space sin space straight x left parenthesis ax squared plus sin space straight x right parenthesis space plus space left parenthesis space straight p plus straight w plus cos space straight x right parenthesis left parenthesis 2 ax space plus cos space straight x right parenthesis

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    77. Find the derivatives of the following functions :


    "<pre  
    120 Views
    Answer
    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
    96 Views
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    80.

    Evaluate the following limits :


    <pre>uncaught exception: <b>mkdir(): Permission denied (errno: 2) in /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php at line #56mkdir(): Permission denied</b><br /><br />in file: /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php line 56<br />#0 [internal function]: _hx_error_handler(2, 'mkdir(): Permis...', '/home/config_ad...', 56, Array) #1 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php(56): mkdir('/home/config_ad...', 493) #2 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/plugin/impl/FolderTreeStorageAndCache.class.php(110): com_wiris_util_sys_Store->mkdirs() #3 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/plugin/impl/RenderImpl.class.php(231): com_wiris_plugin_impl_FolderTreeStorageAndCache->codeDigest('mml=<math xmlns...') #4 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/plugin/impl/TextServiceImpl.class.php(59): com_wiris_plugin_impl_RenderImpl->computeDigest(NULL, Array) #5 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/service.php(19): com_wiris_plugin_impl_TextServiceImpl->service('mathml2accessib...', Array) #6 {main}</pre>

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