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Beliebt Rechnen >

derivative 1/(cos^2(x))

Lösung

ableitung von

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

Lösung

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

Schritte zur Lösung

\frac{d}{d x} (\frac{1}{cos ^{2} ( x )})

Vereinfache

\frac{1}{cos ^{2} ( x )} : sec^{2} (x)

= \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

\frac{d x}{d t} = x

(\partial)/(\partial y)(2x-y)

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x \to \infty lim \frac{( ( lo g _{2} ( x ) ) ^{2} )}{x}

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integral of 3xsin(x)cos(x)

\int 3 x sin (x) cos (x) d x