derivative of 2sec^2(2x)

Lösung

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

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

Schritte zur Lösung

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

Entferne die Konstante:

(a \cdot f)^{'} = a \cdot f^{'}

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

Wende die Kettenregel an:

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

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

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

= 2 \cdot 2 sec (2 x) sec (2 x) tan (2 x) \cdot 2

Vereinfache

2 \cdot 2 sec (2 x) sec (2 x) tan (2 x) \cdot 2 : 8 sec^{2} (2 x) tan (2 x)

= 8 sec^{2} (2 x) tan (2 x)

\int_{0}^{π} sin (x^{2}) d x

\int cot^{3} (x) d x

t an g e n t f (x) = x + 8, (8, 4)

\int \frac{2 x}{9 - 4 x ^{2}} d x

in v erse l a pl a ce \frac{12}{0.5 s ^{2} + 4 s + 5}