derivative of 1/2 tan^2(x)

Lösung

\frac{d}{d x} (\frac{1}{2} tan^{2} (x))

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

Schritte zur Lösung

\frac{d}{d x} (\frac{1}{2} tan^{2} (x))

Entferne die Konstante:

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

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

Wende die Kettenregel an:

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

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

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

= \frac{1}{2} \cdot 2 tan (x) sec^{2} (x)

Vereinfache

\frac{1}{2} \cdot 2 tan (x) sec^{2} (x) : sec^{2} (x) tan (x)

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

\int e^{x} - 3 d x

\int_{- 1}^{5} \frac{8 x}{x ^{2} - 4 x - 12} d x

\frac{\partial}{\partial z} (\frac{x}{y} - \frac{y}{z})

\int \frac{1}{( x - 4 ) ^{\frac{3}{2}}} d x

x \to 0 lim (x^{- \frac{5}{l n ( x )}})