Deriválttáblázat

\frac{d}{d x} (x^{n}) = n x^{n - 1}, n \neq 0

\frac{d}{d x} (a^{x}) = a^{x} l n a

\frac{d}{d x} (e^{x}) = e^{x}

\frac{d}{d x} (l o g_{a} x) = \frac{1}{l n a} \cdot \frac{1}{x}

\frac{d}{d x} (l n x) = \frac{1}{x}

\frac{d}{d x} (s i n x) = c o s x

\frac{d}{d x} (c o s x) = - s i n x

\frac{d}{d x} (t g x) = \frac{1}{c o s^{2} x}

\frac{d}{d x} (c t g x) = - \frac{1}{s i n^{2} x}

\frac{d}{d x} (a r c s i n x) = \frac{1}{\sqrt{1 - x^{2}}}

\frac{d}{d x} (a r c c o s x) = - \frac{1}{\sqrt{1 - x^{2}}}

\frac{d}{d x} (a r c t g x) = \frac{1}{1 + x^{2}}

\frac{d}{d x} (a r c c t g x) = - \frac{1}{1 + x^{2}}

\frac{d}{d x} (s h x) = c h x

\frac{d}{d x} (c h x) = s h x

\frac{d}{d x} (t h x) = \frac{1}{c h^{2} x}

\frac{d}{d x} (c t h x) = - \frac{1}{s h^{2} x}

\frac{d}{d x} (a r s h x) = \frac{1}{\sqrt{1 + x^{2}}}

\frac{d}{d x} (a r c h x) = \frac{1}{\sqrt{x^{2} - 1}}

Kulcsszavak: elemi függvények deriváltja, derivált táblázat, deriválás