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Differentiation

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Question 22

The point P P\,P lies on the curve with equation y=xe2x2y = xe^{2x^2}y=xe2x2 with xxx-coordinate 1.

a.

Find an equation of the tangent to the curve at the point PPP.

[5]
b.

The tangent intersects the xxx-axis at the point A A\,A and the yyy-axis at the point BBB. Find the exact area of the triangle AOBAOBAOB, where O O\,O is the origin.

[4]

Differentiation Questions

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