Differentiate  w.r.t x. from Mathematics Continuity and Diffe
    • Zigya Logo

    Previous Year Papers

    Download Solved Question Papers Free for Offline Practice and view Solutions Online.

    Test Series

    Take Zigya Full and Sectional Test Series. Time it out for real assessment and get your results instantly.

    Test Yourself

    Practice and master your preparation for a specific topic or chapter. Check you scores at the end of the test.
    Advertisement

    Continuity and Differentiability

    Multiple Choice QuestionsShort Answer Type

    171.

    Differentiate straight e to the power of log open parentheses straight x plus square root of straight x squared plus straight a squared end root close parentheses end exponent w.r.t x.

    89 Views
    Answer

    Multiple Choice QuestionsLong Answer Type

    172.

    Differentiatefraction numerator square root of straight a plus straight x end root minus square root of straight a minus straight x end root over denominator square root of bold a bold plus bold x end root plus square root of bold a bold minus bold x end root end fraction w.r.t x.

    80 Views
    Answer
    173.

    Differentiate square root of a italic plus square root of a italic plus square root of a italic plus x to the power of italic 2 end root end root end root w.r.t x

    74 Views
    Answer

    Multiple Choice QuestionsShort Answer Type

    174. If space straight y equals square root of straight a plus square root of straight a plus straight x end root end root comma space find space dy over dx.
    87 Views
    Answer
    Advertisement
    175. If space straight y equals square root of 4 plus square root of 4 plus square root of 4 plus straight x squared end root end root end root comma space find space dy over dx.
    71 Views
    Answer
    176. Differentiate log [(x + 2)(x3 - x)] w.r.t.x
    90 Views
    Answer
    177.

    Differentiate log open parentheses fraction numerator straight x squared plus straight x plus 1 over denominator straight x squared minus straight x plus 1 end fraction close parentheses

    86 Views
    Answer
    Advertisement
    Zigya App

    178.

    Differentiate log open parentheses straight x plus square root of straight a squared plus straight x squared end root close parentheses w.r.t x.

    Let space straight y equals log open parentheses straight x plus square root of straight a squared plus straight x squared end root close parentheses dy over dx equals fraction numerator 1 over denominator straight x plus square root of straight a squared plus straight x squared end root end fraction cross times straight d over dx open square brackets straight x plus left parenthesis straight a squared plus straight x squared right parenthesis to the power of begin inline style 1 half end style end exponent close square brackets equals fraction numerator 1 over denominator straight x plus square root of straight a squared plus straight x squared end root end fraction cross times open square brackets 1 plus 1 half left parenthesis straight a squared plus straight x squared right parenthesis to the power of negative begin inline style 1 half end style end exponent straight d over dx left parenthesis straight a squared plus straight x squared right parenthesis close square brackets equals fraction numerator 1 over denominator straight x plus square root of straight a squared plus straight x squared end root end fraction cross times open square brackets 1 plus fraction numerator 1 over denominator 2 square root of straight a squared plus straight x squared end root end fraction.2 straight x close square brackets equals fraction numerator 1 over denominator straight x plus square root of straight a squared plus straight x squared end root end fraction cross times open square brackets 1 plus fraction numerator 1 over denominator square root of straight a squared plus straight x squared end root end fraction close square brackets equals fraction numerator 1 over denominator straight x plus square root of straight a squared plus straight x squared end root end fraction cross times open square brackets fraction numerator square root of straight a squared plus straight x squared end root plus straight x over denominator square root of straight a squared plus straight x squared end root end fraction close square brackets equals fraction numerator 1 over denominator square root of straight a squared plus straight x squared end root end fraction
    95 Views
  • Switch Icon Switch
    • Advertisement
    Advertisement
    179. Differentiate the following w.r.t.x:
    log space 10 left parenthesis straight x squared plus 3 straight x minus 1 right parenthesis
    96 Views
    Answer
    180. Differentiate the following w.r.t.x: log open parentheses fraction numerator 1 plus straight x over denominator 1 minus straight x end fraction close parentheses
    89 Views
    Answer
    Advertisement
    Flag Popup Icon
    Flag it
    Submit
    Flag Popup Icon
    Switch to
    flexipad
    Share It Icon
    Share it
    Share It
    Share it