The Product Rule (VCE SSCE Mathematical Methods): Quizzes

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

We get $6x^3$ but correct is $5x^4$

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

Keep first, diff second; keep second, diff first; add

$50x^4 + 15x^2 + 64x$

$e^x(2x^2 + 4x + 1)$

$4x\sin(2x) + 4x^2\cos(2x)$

Chain rule

When expansion isn't practical

Identify both functions