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Math Help - Composite function thread 2?

  1. #1
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    Composite function thread 2?

    Evaluate if possible the function at the given value of the independent valuable.

    f(x)=x^3

    f(x+delta x-f(x)/(delta x)

    This is what I did

    f(x+delta x)^3-f(x)

    I got

    (x^2+2(delta)x+delta(x)^2) (x+delta(x))-f(x)

    Which then I put into

    x^3 + 2 delta(x) * x + delta(x)^2 * x + x^2*delta(x)+2delta(x)delta(x)+delta(x)^3

    Which I simplified

    x^3 + 2x*delta(x) + x*delta(x)^2 +x^2*delta(x) + 2delta(x)^2 + delta(x)^3-f(x)/(delta x)

    But I am stuck any help would be appreciated
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  2. #2
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    Re: Composite function thread 2?

    \left( {x + \Delta x} \right)^3  = x^3  + 3x^2 \Delta x + 3x\left( {\Delta x} \right)^2  + \left( {\Delta x} \right)^3
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  3. #3
    Member kalyanram's Avatar
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    Re: Composite function thread 2?

    Evaluate if possible the function at the given value of the independent valuable.

    f(x)=x^3

    f(x+delta x-f(x)/(delta x)
    f(x) = x^3
    f(x+\delta x) = (x + \delta x)^3 = x^3 + 3x^2.\delta x + 3x.(\delta x)^2 + (\delta x)^3

    I hope thing are now more clear to proceed with evaluating \frac{f(x+\delta x)-f(x)}{\delta x}
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