Differentiation

Constant multiple rule
$$ \frac{d}{dx}[c \times f(x)] = c \frac{d}{dx} f(x) $$

Product Rule
$$(f \dot g)' = f' \dot g + f \dot g'$$

Quotient Rule
k(x) = f(x)/g(x)

k'(x) = f(x)g(x) - f(x)g'(x) \frac (g(x))^2

Chain Rule
The chain rule is also known as the composite rule

k(x) = g(f(x)),