The function ggg is defined by g(x)=3x2+6cosxg(x) = 3x^2 + 6\cos xg(x)=3x2+6cosx for −π≤x≤π-\pi \le x \le \pi−π≤x≤π.
Determine whether the curve with equation y=g(x)y = g(x)y=g(x) has a point of inflection at the point where x=0x = 0x=0. Fully justify your answer.
Practise Edexcel A Level Maths 9.9 Using Second Derivatives with exam-style questions for A Level Maths. 57 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.