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Math Help - Original Function

  1. #1
    Member
    Joined
    May 2009
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    Original Function

    How would I get the original function for the first derivative given:

    f'(x)=X^3(2x-7)^2(x+5)

    it's not part of my assignment, just for general know how...sometimes it's just easier to solve equation with original function...thanks!
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  2. #2
    Senior Member
    Joined
    Nov 2008
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    Hello!

    Quote Originally Posted by lisa1984wilson View Post
    How would I get the original function for the first derivative given:

    f'(x)=X^3(2x-7)^2(x+5)

    it's not part of my assignment, just for general know how...sometimes it's just easier to solve equation with original function...thanks!
    By integration!

    In this case i would prefer

    x^3(2x-7)^2(x+5) = ... = 4x^6 - 8x^5 - 91x^4 + 245x^3

    \int [4x^6 - 8x^5 - 91x^4 + 245x^3] dx

    This is pretty easy to integrate, do you know how to integrate?

    \int [4x^6 - 8x^5 - 91x^4 + 245x^3] dx = 4x^7/7 - 4x^6/3 - 91x^5/5 + 245x^4/4 + CONST = f(x)

    Kind regards
    Rapha
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