Recovering a curve from derivative information

Recovering a curve from derivative information

5 marks
TGM Original
A curve has (d2y)/(dx2)=12 x2 - 6 x. At x=1, its gradient is 2 and y=3. Find its equation.

Solution:

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Answer:\(y=x^{4} - x^{3} + x + 2\)

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