B Derivative rules

For the calculation of the derivative, specific rules depending on the original function have to be applied:

Function	Derivative	Rule
$f(x) = x^n$	$f'(x) = n \cdot x^{n-1}$	Power rule
$f(x) = g(x) \pm h(x)$	$f'(x) = g'(x) \pm h'(x)$	Sum and difference rule
$f(x) = g(x) \cdot h(x)$	$f'(x) = g'(x) \cdot h(x) + g(x) \cdot h'(x)$	Product rule
$f(x) = \frac{g(x)}{h(x)}$	$f'(x) = \frac{g'(x) \cdot h(x) - g(x) \cdot h'(x)}{\big(h(x)\big)^2}$	Quotient rule
$f(x) = h\big(g(x)\big)$	$f'(x) = h'\big(g(x)\big) \cdot g'(x)$	Chain rule