3.6.2 Differentiation (A-level only)

A function $f\,$ is defined by $f(x)=2x1+x2,x∈R\displaystyle f(x) = \frac{2x}{1+x^2}, x \in \mathbb{R}$ .

Find the coordinates of the stationary points of the graph of $y = f (x)$ and determine the nature of these stationary points.

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A function $f\,$ is defined by $f(x)=2x1+x2,x∈R\displaystyle f(x) = \frac{2x}{1+x^2}, x \in \mathbb{R}$ .

Find the coordinates of the stationary points of the graph of $y = f (x)$ and determine the nature of these stationary points.

[7]

3.6.2 Differentiation (A-level only) Questions