Applications of Differential Calculus (Grade 12 NSC Matric Mathematics): Flashcards

Problems finding maximum or minimum values

Points where rate of change is zero

Set $f'(x) = 0$ and solve

Local maximum

Local minimum

Only one variable

The derivative $f'(x)$

$v(t) = \frac{ds}{dt} = s'(t)$

$a(t) = \frac{dv}{dt} = v'(t)$

$a(t) = s''(t)$ (second derivative)