# Sketching a curve after differentiation

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1. Using differentiation, find the turning points of the function y = x3 – 2x2 + 1 and sketch its curve.
2. 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
3. (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.
4. Agree with first post, find min and max points to see general size of curve

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Updated: September 6, 2016
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