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Sketching a curve after differentiation

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    Using differentiation, find the turning points of the function y = x3 – 2x2 + 1 and sketch its curve.

    I think when you differentiate it, make it equal to zero, then the answer should tell you the stationary points. Then find out if it is a min/max point as those woukd be your turninf points.

    If i am wrong im sorry since all i did was the aqa further maths gcse sorry

    (Original post by Deannnn97)
    Using differentiation, find the turning points of the function y = x3 – 2x2 + 1 and sketch its curve.
    Differentiate once to get 3x^2 - 4x.
    Make it equal to zero so you have 3x^2 -4x = 0
    Solve the equation to get x(3x - 4) = 0
    The turning points are at x = 0 and x = 4/3
    Put them back into the original equation to get the value of y.

    Agree with first post, find min and max points to see general size of curve
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