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Math Help - Hard A-LEVEL Curve Question

  1. #1
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    Exclamation Hard A-LEVEL Curve Question

    A curve has the equation y=f(x). Given that the point A(2,0) lies on the curve and that the derivative with respect to x is f '(x)=6x(squared)-8x +1.
    fidn the equation of the circle.
    Thank you.
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  2. #2
    Super Member wingless's Avatar
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    This is an antiderivative question with a given condition. Find the antiderivative from f' and find the integration constant by using the given point.

    Quote Originally Posted by helpishere View Post
    A curve has the equation y=f(x). Given that the point A(2,0) lies on the curve and that the derivative with respect to x is f '(x)=6x(squared)-8x +1.
    fidn the equation of the circle. (?? I think you accidentally wrote circle instead of curve)
    Thank you.
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  3. #3
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    ok so basically integrate it and use the point 2 as x????
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  4. #4
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    Quote Originally Posted by helpishere View Post
    ok so basically integrate it and use the point 2 as x????
    Find the anti-derivative. The given condition is f(2) = 0, whch is used to get the value of the arbitrary constant.
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