derivative of \sqrt[5]{6x}

Lösung

\frac{d}{d x} (5 6 x)

\frac{6 ^{\frac{1}{5}}}{5 x ^{\frac{4}{5}}}

Schritte zur Lösung

\frac{d}{d x} (5 6 x)

Wende die Kettenregel an:

\frac{1}{5 ( 6 x ) ^{\frac{4}{5}}} \frac{d}{d x} (6 x)

= \frac{1}{5 ( 6 x ) ^{\frac{4}{5}}} \frac{d}{d x} (6 x)

\frac{d}{d x} (6 x) = 6

= \frac{1}{5 ( 6 x ) ^{\frac{4}{5}}} \cdot 6

Vereinfache

\frac{1}{5 ( 6 x ) ^{\frac{4}{5}}} \cdot 6 : \frac{6 ^{\frac{1}{5}}}{5 x ^{\frac{4}{5}}}

= \frac{6 ^{\frac{1}{5}}}{5 x ^{\frac{4}{5}}}

d er i v a t i v e \frac{x}{4} arcsin (x)

\frac{\partial}{\partial x} (\frac{1}{2 x ^{2}})

x \to 0 lim (\frac{10}{x})

\int_{l n (9)}^{l n (36)} e^{\frac{x}{2}} d x

f (x) = \frac{3}{x ^{4}}