.: derivatives :.

x^(n) = (n)x^(n-1)
ln(x) = (1 / x)
sin(x) = cos(x)
cos(x) = -sin(x)
tan(x) = sec^2(x)
csc(x) = -csc(x)cot(x)
cot(x) = -csc^2(x)
e^(x) = e^(x)
a^(x) = ln(a) • a^(x)

product rule [f(x)g(x)]
f(x)g'(x) + f'(x)g(x)

quotient rule [f(x) / g(x)]
g(x)f'(x) - f(x)g'(x) / [g(x)]^2

chain rule [f(g(x))]
f'(g(x))g'(x)