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Beliebt Vorkalkül >

derivative f(x)=sec^2(x)

Lösung

ableitung von

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

Lösung

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

Schritte zur Lösung

\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

derivative y=3x^3+1/4 x^2

d er i v a t i v e y = 3 x^{3} + \frac{1}{4} x^{2}

derivative f(x)=e^x+2e^{2x}

d er i v a t i v e f (x) = e^{x} + 2 e^{2 x}

p o l a r (0, - 5)

tangent f(x)=x^2,\at x=3

t an g e n t f (x) = x^{2}, at x = 3

m = \frac{1}{2}