de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

derivative (7+2x)/(5-8x)

Lösung

ableitung von

\frac{7 + 2 x}{5 - 8 x}

Lösung

\frac{66}{( 5 - 8 x ) ^{2}}

Schritte zur Lösung

\frac{d}{d x} (\frac{7 + 2 x}{5 - 8 x})

Wende die Quotientenregel an:

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

= \frac{\frac{d}{d x} ( 7 + 2 x ) ( 5 - 8 x ) - \frac{d}{d x} ( 5 - 8 x ) ( 7 + 2 x )}{( 5 - 8 x ) ^{2}}

\frac{d}{d x} (7 + 2 x) = 2

\frac{d}{d x} (5 - 8 x) = - 8

= \frac{2 ( 5 - 8 x ) - ( - 8 ) ( 7 + 2 x )}{( 5 - 8 x ) ^{2}}

Vereinfache

\frac{2 ( 5 - 8 x ) - ( - 8 ) ( 7 + 2 x )}{( 5 - 8 x ) ^{2}} : \frac{66}{( 5 - 8 x ) ^{2}}

= \frac{66}{( 5 - 8 x ) ^{2}}

Graph

Beliebte Beispiele

(\partial)/(\partial x)(1/(tan(xy)))

\frac{\partial}{\partial x} (\frac{1}{tan ( x y )})

(dy)/(dx)=(x+y+2)^2

\frac{d y}{d x} = (x + y + 2)^{2}

(\partial)/(\partial x)(e^{-2x}*cos(2y))

\frac{\partial}{\partial x} (e^{- 2 x} \cdot cos (2 y))

integral of (5x-3)/(x^2-1)

\int \frac{5 x - 3}{x ^{2} - 1} d x

tangent y= 6/(sqrt(x))

t an g e n t y = \frac{6}{x}