(\partial)/(\partial x)(sec^2(x))

Lösung

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

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

Schritte zur Lösung

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

Wende die Kettenregel an:

2 sec (x) \frac{\partial}{\partial x} (sec (x))

= 2 sec (x) \frac{\partial}{\partial x} (sec (x))

\frac{\partial}{\partial x} (sec (x)) = sec (x) tan (x)

= 2 sec (x) sec (x) tan (x)

Vereinfache

2 sec (x) sec (x) tan (x) : 2 sec^{2} (x) tan (x)

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

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

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

\frac{d}{d x} (f (x) (- x))

d er i v a t i v e 20 x^{\frac{7}{5}} - 6 x^{\frac{2}{13}}

t an g e n t x^{5}