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

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

Gradient of tangent to curve at point $x$

$g'(x) = 2$

$f'(x) = 12x^2$

$\frac{2}{x^2}$

$g'(x) = 0$

$\frac{y}{x}$

A single symbol for the derivative

Write the formula $f'(x) = \lim_{h \to 0}$

Factor out $h$ from the numerator