The Product Rule (VCE SSCE Mathematical Methods): Flashcards

$F'(x)=f(x)\cdot g'(x)+g(x)\cdot f'(x)$

$\frac{dy}{dx}=u\frac{dv}{dx}+v\frac{du}{dx}$

First×d(second)+second×d(first), then add

Cannot do this; must use product rule

When expansion isn't practical

Apply product rule repeatedly

Chain rule

Simplify by factoring common terms

$2x\cdot 3x^2=6x^3$ wrong; correct is $5x^4$

First×deriv of second+second×deriv of first