Math Formulas || Limits and Derivaties || Higher Order Derivatives

$\left(x^m \right)^{(n)} = \dfrac{ m! }{(m-n)!} ~x^{m-n}$
$\left( x^n \right)^{(n)} = n! $
$\left( \log_a x \right)^{(n)} = \dfrac{(-1)^{(n-1)} \cdot (n-1)!}{x^n \cdot \ln a}$
$(\ln n)^{(n)} = \dfrac{(-1)^{n-1}(n-1)!}{x^n}$
$\left( a^x \right)^{(n)} = a^x \cdot \ln^n a$
$\left( a^{m \, x} \right)^{(n)} = m^n \, a^{mx} \ln^n a$
$(\sin x)^{(n)} = \sin\left(x + \dfrac{n\,\pi}{2} \right)$
$(\cos x)^{(n)} = \cos\left(x + \dfrac{n\,\pi}{2} \right)$