Summary (Grade 12 NSC Matric Mathematics): Flashcards

What happens to function values as input approaches a value

$\frac{f(x + h) - f(x)}{h}$

$f'(x) = \lim_{h \to 0} \frac{f(x + h) - f(x)}{h}$

$nx^{n-1}$

$0$

Derivative of the first derivative

When $f'(x) = 0$

$\frac{d}{dx}[f(x) + g(x)] = \frac{d}{dx}[f(x)] + \frac{d}{dx}[g(x)]$

Finding maximum or minimum values of functions

$\frac{d}{dx}[k \cdot f(x)] = k \cdot \frac{d}{dx}[f(x)]$