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Beliebt Rechnen >

derivative of (sec(x)^2)

Lösung

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

Lösung

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

Schritte zur Lösung

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

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 of c*ln(x)

\frac{d}{d x} (c \cdot ln (x))

fläche x^3-4x,12x

a re a x^{3} - 4 x, 12 x

derivative sqrt(x/(x+5))

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

8 y^{^{''}} + 26 y = 0

inverselaplace 1/(s^3)

in v erse l a pl a ce \frac{1}{s ^{3}}