The point P P\,P lies on the curve with equation y=3xex2y = 3xe^{x^2}y=3xex2 with xxx-coordinate 1.
Find an equation of the tangent to the curve at the point PPP.
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.
Practise Edexcel A Level Maths 9.3 The Chain Rule with exam-style questions for A Level Maths. 50 questions, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.