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    Hey,

    i am beyond frustration with differentiating quotient agh.
    Could anyone please help with the following:

    Differentiate with respect to x
    x/(x+1) ^1/2

    Thanks
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    Try instead using the product rule on x(x+1)-1/2 and see if that gets you anywhere :cute:
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    (Original post by lailapianai)
    Hey,

    i am beyond frustration with differentiating quotient agh.
    Could anyone please help with the following:

    Differentiate with respect to x
    x/(x+1) ^1/2

    Thanks
    Use the quotient rule. Let \frac{u}{v} = \frac{x}{(x+1)^\frac{1}{2}} you'll have to find v' using the chain rule, as (x+1)^\frac{1}{2} is a composite function.
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    If the quotient rule is not too fun for you, product rule is perfectly valid (quotient rule is just an application of the product rule after all) and maybe faster. What have you tried?
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    Simply put,
    1) mutliply the bottom bit by the derivative of the top bit then minus (the product of the top bit and the derivative of the bottom bit)
    2) divide the whole expression by the bottom bit squared.
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    (Original post by Alexion)
    Try instead using the product rule on x(x+1)-1/2 and see if that gets you anywhere :cute:
    I tried this and i still cant get the answer
    I got -1/2x (x+1)^1/2 /(x+1)^1/2
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    (Original post by 13 1 20 8 42)
    If the quotient rule is not too fun for you, product rule is perfectly valid (quotient rule is just an application of the product rule after all) and maybe faster. What have you tried?
    I tried using the product rule instead and got this
    -1/2x (x+1)^1/2 /(x+1)^1/2
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    (Original post by Alexion)
    Try instead using the product rule on x(x+1)-1/2 and see if that gets you anywhere :cute:
    (Original post by lailapianai)
    I tried this and i still cant get the answer
    I got -1/2x (x+1)^1/2 /(x+1)^1/2
    Well if we take the two sections we get

    (x+1)-1/2 * -(1/2)x(x+1)-3/2

    from the product rule. Try simplifying that.

    Remember the second term if you're using the product rule is (x+1)-1/2 not (x+1)1/2
    • Thread Starter
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    (Original post by Alexion)
    Well if we take the two sections we get

    (x+1)-1/2 * -(1/2)x(x+1)-3/2

    from the product rule. Try simplifying that.

    Remember the second term if you're using the product rule is (x+1)-1/2 not (x+1)1/2
    Thanks
 
 
 
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