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.
14 exam-style questions on Edexcel A Level Old Maths Differentiation. Each one has a worked solution and a mark scheme showing where the marks go.