A function f f\,f is defined by f(x)=2x1+x2,x∈R\displaystyle f(x) = \frac{2x}{1+x^2}, x \in \mathbb{R}f(x)=1+x22x,x∈R.
Find the coordinates of the stationary points of the graph of y=f(x)y = f(x)y=f(x) and determine the nature of these stationary points.
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.