derivative derivative of sec^2(x)

Lösung

ableitung von

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

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)

\frac{d}{d x} y = 2 e^{x}

d er i v a t i v e \frac{d}{d x} (x cos (x))

d er i v a t i v e \frac{d}{d x} (cos (x) sec (x))

d er i v a t i v e \frac{d}{d x} (e^{3 x})

s l o p e (4, 0), (0, 3)