derivative of 1+sec^2(x)

Lösung

\frac{d}{d x} (1 + sec^{2} (x))

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

Schritte zur Lösung

\frac{d}{d x} (1 + sec^{2} (x))

Wende die Summen-/Differenzregel an:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (1) + \frac{d}{d x} (sec^{2} (x))

\frac{d}{d x} (1) = 0

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

= 0 + 2 sec^{2} (x) tan (x)

Vereinfache

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

x \to 2 lim (\frac{x - 9}{x - 9 x})

\int_{4}^{7} x^{3} ln (4 x) d x

d er i v a t i v e e^{\frac{7}{u}}

\frac{d x}{d t} = x - 2

\int csc (\frac{3}{4}) x cot (\frac{3}{4}) x d x