derivative 5sec(5x)

Lösung

ableitung von

5 sec (5 x)

25 sec (5 x) tan (5 x)

Schritte zur Lösung

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

Entferne die Konstante:

(a \cdot f)^{'} = a \cdot f^{'}

= 5 \frac{d}{d x} (sec (5 x))

Wende die Kettenregel an:

sec (5 x) tan (5 x) \frac{d}{d x} (5 x)

= sec (5 x) tan (5 x) \frac{d}{d x} (5 x)

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

= 5 sec (5 x) tan (5 x) \cdot 5

Vereinfache

= 25 sec (5 x) tan (5 x)

\frac{d}{d x} (ln (5 x + 4))

x \to - 4 lim ((2 x^{3} - 3 x^{2})^{2})

\frac{d}{d x} (\frac{2 x ^{3} - 4 x ^{2} + 3}{x})

\frac{\partial}{\partial x} (- 9 e^{- 5 x y})

\int_{0}^{\frac{π}{6}} cos^{2} (3 x) d x