Product Rule (Leaving Cert Mathematics): Quizzes

To differentiate products of functions

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

$x^2$

$\cos(x)$

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

$e^x$

$\frac{1}{x}$

$\sqrt{3x+1}$

$\frac{3}{2}(3x+1)^{-\frac{1}{2}}$

$\frac{15x^2+4x}{2\sqrt{3x+1}}$