de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

derivative of (sec(x)/(4x^2+5))

Lösung

\frac{d}{d x} (\frac{sec ( x )}{4 x ^{2} + 5})

Lösung

\frac{sec ( x ) tan ( x ) ( 4 x ^{2} + 5 ) - 8 x sec ( x )}{( 4 x ^{2} + 5 ) ^{2}}

Schritte zur Lösung

\frac{d}{d x} (\frac{sec ( x )}{4 x ^{2} + 5})

Wende die Quotientenregel an:

(\frac{f}{g})^{'} = \frac{f ^{'} \cdot g - g ^{'} \cdot f}{g ^{2}}

= \frac{\frac{d}{d x} ( sec ( x ) ) ( 4 x ^{2} + 5 ) - \frac{d}{d x} ( 4 x ^{2} + 5 ) sec ( x )}{( 4 x ^{2} + 5 ) ^{2}}

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

\frac{d}{d x} (4 x^{2} + 5) = 8 x

= \frac{sec ( x ) tan ( x ) ( 4 x ^{2} + 5 ) - 8 x sec ( x )}{( 4 x ^{2} + 5 ) ^{2}}

Graph

Beliebte Beispiele

inverselaplace s/(s^2+4s+8)

derivative g(x)=-x^2+7x+7

y^{''}+16y^'+65y=0,y(0)=1,y^'(0)=0

tangent f(x)=8x^{1/3}-5,\at x=8