Last updated on Sep 20, 2026

Rules for Differentiation (VCE SSCE Mathematical Methods): Flashcards

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Rules for Differentiation

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Power rule for $f(x) = x^n$

$f'(x) = nx^{n-1}$

Derivative of constant $c$

$0$

Derivative of $k cdot g(x)$ where $k$ is constant

$k cdot g'(x)$

Derivative of $g(x) + h(x)$

$g'(x) + h'(x)$

Derivative of $g(x) - h(x)$

$g'(x) - h'(x)$

Leibniz notation for derivative of $y$ w.r.t. $x$

$\frac{dy}{dx}$

Gradient of tangent at $(a, f(a))$

$f'(a)$

Gradient $m$ in terms of angle $\alpha$

$m = \tan \alpha$

When $f'(x) > 0$ , function is

Strictly increasing

When $f'(x) < 0$ , function is

Strictly decreasing

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