Increasing and decreasing functions (AQA GCSE Further Maths): Flashcards

As x-values get larger, y-values also get larger

As x-values increase, y-values get smaller

$\frac{dy}{dx} > 0$ (positive derivative)

$\frac{dy}{dx} < 0$ (negative derivative)

Function is increasing (going uphill)

Function is decreasing (going downhill)

The rate of change of the function at any point

Differentiate the function to find $\frac{dy}{dx}$

$\frac{dy}{dx} = 2x - 4$

$x > 2$

Flip the inequality sign

Differentiate → inequality → solve → state answer