Further Applications of Differentiation (Edexcel A-Level Mathematics): Quizzes

The function is concave up

It is decreasing

$f''(x) = 0$ or where $f''(x)$ is undefined

$f'(c) = 0$ and $f''(c) > 0$

When $f'(x) = 0$ and $f''(x) = 0$

Local maximum

$P''(x) < 0$ at the critical point

$C''(x) > 0$ at the critical point

Acceleration

$f''(x) \geq 0$ for all $x$ in domain