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3.6.5 Differentiation (A-level only)

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Question 36

The point P P\,P lies on the curve with equation y=3xex2y = 3xe^{x^2}y=3xex2 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]

3.6.5 Differentiation (A-level only) Questions

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