Differentiation from First Principles (Grade 12 NSC Matric Mathematics): Flashcards

Method using limits to find derivatives from basic definition

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

Gradient of tangent to curve at any point $x$

Differentiation

Zero (0)

$\frac{dy}{dx}$

No, it's a single symbol for derivative, not $dy \div dx$

Differential operators

Constant

Factor out $h$ from numerator