Differential Calculus
Product Rule
$f = uv \implies f' = u'v + uv'$
Quotient Rule
$f = \frac{u}{v} \implies f' = \frac{u'v - uv'}{v^2}$
Power Rule
$f(x) = ax^n \implies f'(x) = nax^{n-1}$
Chain Rule
$f(g(x)) \implies f'(g(x)) \cdot g'(x)$
$f = uv \implies f' = u'v + uv'$
$f = \frac{u}{v} \implies f' = \frac{u'v - uv'}{v^2}$
$f(x) = ax^n \implies f'(x) = nax^{n-1}$
$f(g(x)) \implies f'(g(x)) \cdot g'(x)$