A curve has equation y=f(x)y = f(x)y=f(x).
It is given that f′(a)=0f'(a) = 0f′(a)=0 and f′′(a)<0f''(a) < 0f′′(a)<0.
Identify the nature of the stationary point of the curve at x=ax = ax=a.
Tick one box.
A minimum point
A maximum point
A point of inflection
The nature cannot be determined
375 exam-style questions on AQA A Level Maths 1.10 G: Differentiation, 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). Each one has a worked solution and a mark scheme showing where the marks go.