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Thread: Differential question

  1. #1
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    Differential question

    Hi can u guys show me how to differenate this?

    Differential question-img_20180411_005538_197.jpg
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  2. #2
    MHF Contributor
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    Re: Differential question

    rewriting (a) as

    $y = -(x)^{\frac 1 2} + x^{-\frac 4 7}-4x^{-3}$

    might make finding $\dfrac{dy}{dx}$ a bit easier. Just apply $\dfrac{d}{dx} x^a = a x^{a-1}$

    for (b) I'd go ahead and multiply through to obtain

    $y = x^{\frac 5 2} - x,~0 \leq x$

    note the condition is required on the right hand side as the square root function is only defined for non-negative real numbers

    Now you can easily apply the differentiation formula above.
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