de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

derivative of (sin(x+cos(x))/(cos(x)))

Lösung

\frac{d}{d x} (\frac{sin ( x ) + cos ( x )}{cos ( x )})

Lösung

sec^{2} (x)

Schritte zur Lösung

\frac{d}{d x} (\frac{sin ( x ) + cos ( x )}{cos ( x )})

Vereinfache

\frac{sin ( x ) + cos ( x )}{cos ( x )} : 1 + tan (x)

= \frac{d}{d x} (1 + tan (x))

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (1) + \frac{d}{d x} (tan (x))

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

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

= 0 + sec^{2} (x)

Vereinfache

= sec^{2} (x)

Graph

Beliebte Beispiele

(\partial)/(\partial x)(sin(y^2)+6e^x)

\frac{\partial}{\partial x} (sin (y^{2}) + 6 e^{x})

derivative e^{2y}

d er i v a t i v e e^{2 y}

inverselaplace (((s+1))/(s^4))^3

in v erse l a pl a ce (\frac{( s + 1 )}{s ^{4}})^{3}

integral of x(x+1)^5

\int x (x + 1)^{5} d x

integral of (3x-4)e^{(-x)}

\int (3 x - 4) e^{(- x)} d x