IB Maths AA SL 5.2 Increasing and Decreasing Functions Questions

Practise IB Mathematics SL 5.2 by applying increasing and decreasing functions methods to questions from the Question Bank.

Exam points

Interpret f′(x) > 0, f′(x) = 0 and f′(x) < 0 graphically to identify where a function increases, has a stationary point or decreases.
Determine increasing and decreasing intervals from a derivative sign chart or graph, stating the interval boundaries and any domain restrictions.

[Maximum number: 3]

The derivative of a function f is given by $f^{\prime}(x)=\frac{2 x+2}{x^{2}+2 x+2}$ , for $x \in \mathbb{R}$ .

Hence, find the values of x for which f is increasing.

$\quad x>-1($ accept $x \geq-1)$

All question bank results loaded