Product Rule (Edexcel A-Level Mathematics): Quizzes

$u(x) \cdot v'(x) + v(x) \cdot u'(x)$

Both ways the product can change

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

$\frac{e^x}{x} + e^x \ln(x)$

Add the two results together

$e^{3x}(3x^2 + 2x)$

$-(3x^2 + 2x)\sin(x) + (6x + 2)\cos(x)$

$\sin x + x \cos x$

$u(x) \cdot v'(x) + v(x) \cdot u'(x)$

$6x^3e^{2x+3}(2+x)$