Calculus — all derivative rules in 9 cards
VCE Mathematical Methods · Differentiation rules · 9 flashcards, free to study.
Standard rules + the chain-rule trap on eˣ². For exam 1 (no CAS).
- d/dx [sin(x)]
- cos(x)
- d/dx [cos(x)]
- −sin(x)
- d/dx [eˣ]
- eˣ
- d/dx [ln(x)]
- 1/x (x > 0)
- Chain rule
- d/dx [f(g(x))] = f'(g(x)) · g'(x)
- Product rule
- d/dx [uv] = u'v + uv'
- Quotient rule
- d/dx [u/v] = (u'v − uv') / v²
- Derivative of tan(x)
- sec²(x) = 1/cos²(x)
- Common slip: d/dx [eˣ²]
- 2x · eˣ² — chain rule, not just eˣ².