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Beliebt Rechnen >

derivative-sec^2(x)

Lösung

ableitung von

- sec^{2} (x)

Lösung

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

Schritte zur Lösung

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

Entferne die Konstante:

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

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

Wende die Kettenregel an:

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

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

\frac{d}{d 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)

Graph

Beliebte Beispiele

d/(dn)(e^{nipi})

\frac{d}{d n} (e^{niπ})

y^{^{''}} + y^{^{'}} + y = 0

integral of (y^5+5y)

\int (y^{5} + 5 y) d y

y^{''}+y=0,y(pi/3)=16,y^'(pi/3)=-32

y^{^{''}} + y = 0, y (\frac{π}{3}) = 16, y^{^{'}} (\frac{π}{3}) = - 32

(\partial)/(\partial y)(7e^{x^2ln(y)})

\frac{\partial}{\partial y} (7 e^{x^{2} l n (y)})