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Beliebt Rechnen >

derivative of (0.5/(cos(x)))

Lösung

\frac{d}{d x} (\frac{0.5}{cos ( x )})

Lösung

0.5 sec (x) tan (x)

Schritte zur Lösung

\frac{d}{d x} (\frac{0.5}{cos ( x )})

Vereinfache

\frac{0.5}{cos ( x )} : 0.5 sec (x)

= \frac{d}{d x} (0.5 sec (x))

Entferne die Konstante:

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

= 0.5 \frac{d}{d x} (sec (x))

Wende die allgemeine Ableitungsregel an:

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

= 0.5 sec (x) tan (x)

Graph

Beliebte Beispiele

(dy)/(dx)=(ln(x))/(xy)

\frac{d y}{d x} = \frac{ln ( x )}{x y}

limit as x approaches-1+of x^2+2

x \to - 1 + lim (x^{2} + 2)

integral of 1/(20y)

\int \frac{1}{20 y} d y

integral of (a^{2x})/(2ln(a))

\int \frac{a ^{2 x}}{2 ln ( a )} d x

integral from 0 to 2 of sqrt(2x)

\int_{0}^{2} 2 x d x