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Math Help - Maths C2 Curve help!

  1. #1
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    Maths C2 Curve help!

    Please can someone help me with this:

    The Curve with equation y = f (x) passes through the point (8,7)
    Given that

    f ' (x) = 4x^1/3 - 5

    find f(x)

    Many thanks,

    languages
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  2. #2
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    Hello,

    Quote Originally Posted by languages View Post
    Please can someone help me with this:

    The Curve with equation y = f (x) passes through the point (8,7)
    Given that

    f ' (x) = 4x^1/3 - 5

    find f(x)

    Many thanks,

    languages
    Find the primitive of f'(x) :

    An antiderivative of x^n is \frac{x^{n+1}}{n+1}. Here, n=1/3

    An antiderivative of a is ax. Here, a=-5.

    The primitive will be the sum of these antiderivatives, to which you add a constant c.

    The fact that the curve passes through the point (8,7) will help you find c.
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