derivative of 7sec^2(7x)

Lösung

\frac{d}{d x} (7 sec^{2} (7 x))

98 sec^{2} (7 x) tan (7 x)

Schritte zur Lösung

\frac{d}{d x} (7 sec^{2} (7 x))

Entferne die Konstante:

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

= 7 \frac{d}{d x} (sec^{2} (7 x))

Wende die Kettenregel an:

2 sec (7 x) \frac{d}{d x} (sec (7 x))

= 2 sec (7 x) \frac{d}{d x} (sec (7 x))

\frac{d}{d x} (sec (7 x)) = sec (7 x) tan (7 x) \cdot 7

= 7 \cdot 2 sec (7 x) sec (7 x) tan (7 x) \cdot 7

Vereinfache

7 \cdot 2 sec (7 x) sec (7 x) tan (7 x) \cdot 7 : 98 sec^{2} (7 x) tan (7 x)

= 98 sec^{2} (7 x) tan (7 x)

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

\int_{0}^{9} x e^{- x^{2}} d x

t a y l or \frac{1}{x ^{2}}, 1

\frac{\partial}{\partial x} (\frac{x ^{2}}{y} - x z)

\frac{\partial}{\partial y} (2 ln (3 x) - 4 ln (2 x y))