A curve C C\,C has equation y=x2exy = x^2 e^xy=x2ex. Find dydx\displaystyle \frac{dy}{dx}dxdy, using the product rule for differentiation.
Hence find the coordinates of the turning points of CCC.
Find d2ydx2\displaystyle \frac{d^2 y}{dx^2}dx2d2y.
Determine the nature of each turning point of the curve CCC.
Practise Edexcel A Level Old Maths Differentiation with exam-style questions for A Level Old Maths. 14 questions, matched to the Edexcel A Level Old Maths (9371) specification and written in Unit exams C1, C2, C3 and C4 plus two applied units (e.g. S1 and M1) 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.