The function ggg is defined by
g(x)=3x2+6cosx g(x) = 3x^2 + 6\cos x g(x)=3x2+6cosxfor −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 AQA A Level Maths 1.10 G: Differentiation with exam-style questions for A Level Maths. 321 questions covering 1.10.1 The derivative and second derivative, 1.10.2 Differentiating standard functions, 1.10.3 Applications of differentiation, 1.10.4 Product, quotient and chain rules (A-level only), 1.10.5 Implicit and parametric differentiation (A-level only), and 1.10.6 Constructing differential equations (A-level only), matched to the AQA A Level Maths (7357) 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.