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Beliebt Rechnen >

derivative sec^2(t)

Lösung

ableitung von

sec^{2} (t)

Lösung

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

Schritte zur Lösung

\frac{d}{d t} (sec^{2} (t))

Wende die Kettenregel an:

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

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

\frac{d}{d t} (sec (t)) = sec (t) tan (t)

= 2 sec (t) sec (t) tan (t)

Vereinfache

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

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

Graph

Beliebte Beispiele

derivative ln(x^9)

d er i v a t i v e ln (x^{9})

derivative of e^x+e^x*x

\frac{d}{d x} (e^{x} + e^{x} \cdot x)

integral of (x^5)/(x+1)

\int \frac{x ^{5}}{x + 1} d x

derivative (4x)/(x-5)

d er i v a t i v e \frac{4 x}{x - 5}

derivative y=tan(t/(1+t^2))

d er i v a t i v e y = tan (\frac{t}{1 + t ^{2}})