de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

derivative of 800sqrt(x^2-0.1x)

Lösung

\frac{d}{d x} (800 x^{2} - 0.1 x)

Lösung

\frac{400 ( 2 x - 0.1 )}{x ^{2} - 0.1 x}

Schritte zur Lösung

\frac{d}{d x} (800 x^{2} - 0.1 x)

Entferne die Konstante:

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

= 800 \frac{d}{d x} (x^{2} - 0.1 x)

Wende die Kettenregel an:

\frac{1}{2 x ^{2} - 0.1 x} \frac{d}{d x} (x^{2} - 0.1 x)

= \frac{1}{2 x ^{2} - 0.1 x} \frac{d}{d x} (x^{2} - 0.1 x)

\frac{d}{d x} (x^{2} - 0.1 x) = 2 x - 0.1

= 800 \cdot \frac{1}{2 x ^{2} - 0.1 x} (2 x - 0.1)

Vereinfache

800 \cdot \frac{1}{2 x ^{2} - 0.1 x} (2 x - 0.1) : \frac{400 ( 2 x - 0.1 )}{x ^{2} - 0.1 x}

= \frac{400 ( 2 x - 0.1 )}{x ^{2} - 0.1 x}

Graph

Beliebte Beispiele

integral of cot(x)sec(x)

\int cot (x) sec (x) d x

integral of (x+6)/((x+1)^2)

\int \frac{x + 6}{( x + 1 ) ^{2}} d x

(\partial ^2)/(\partial r\partial θ)(r(θ)cos(θ))

\frac{\partial ^{2}}{\partial r \partial θ} (r (θ) cos (θ))

limit as x approaches 0 of (x^2+1)/(x-1)

x \to 0 lim (\frac{x ^{2} + 1}{x - 1})

(x+y+1)dx-(y-x+3)dy=0

(x + y + 1) d x - (y - x + 3) d y = 0