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Math Help - Differentiate function

  1. #1
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    Differentiate function

    the question im having trouble with is

    f(x) = \frac{\sqrt{5x}(1+x^2)}{\sqrt{2}}

    is there a simpler way than using the quotient rule? itried that, but ended up with a ridiculously long answer for the derivative.
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  2. #2
    MHF Contributor harish21's Avatar
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    Quote Originally Posted by absvalue View Post
    the question im having trouble with is

    f(x) = \frac{\sqrt{5x}(1+x^2)}{\sqrt{2}}

    is there a simpler way than using the quotient rule? itried that, but ended up with a ridiculously long answer for the derivative.
    You are supposed to use the product rule here. \frac{1}{\sqrt{2}} is a constant. So you have to find the derivative this way:

    \frac{1}{\sqrt{2}} \times \frac{d}{dx}\sqrt{5x}(1+x^2)

    or,

    \frac{\sqrt{5}}{\sqrt{2}} \times \frac{d}{dx}\sqrt{x}(1+x^2)
    Are you comfortable with the product rule. Try it and post if you have problems
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  3. #3
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    ah makes sense now. thanks!!
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