de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

derivative of (2x^{-4}-(2t^{-1})^2)

Lösung

\frac{d}{d x} ((2 x)^{- 4} - (2 t^{- 1})^{2})

Lösung

- \frac{1}{4 x ^{5}}

Schritte zur Lösung

\frac{d}{d x} ((2 x)^{- 4} - (2 t^{- 1})^{2})

Behandle

t

als Konstante

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} ((2 x)^{- 4}) - \frac{d}{d x} ((2 t^{- 1})^{2})

\frac{d}{d x} ((2 x)^{- 4}) = - \frac{1}{4 x ^{5}}

\frac{d}{d x} ((2 t^{- 1})^{2}) = 0

= - \frac{1}{4 x ^{5}} - 0

Vereinfache

= - \frac{1}{4 x ^{5}}

Graph

Beliebte Beispiele

derivative (4x^2-5x)e^x

d er i v a t i v e (4 x^{2} - 5 x) e^{x}

fläche 7-x^2,x^2-1

a re a 7 - x^{2}, x^{2} - 1

derivative of (sin(pi/2 x)/x)

\frac{d}{d x} (\frac{sin ( \frac{π}{2} x )}{x})

derivative of xsqrt(x^2+y^2)

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

integral from 0 to 1/5 of 5arcsin(5y)

\int_{0}^{\frac{1}{5}} 5 arcsin (5 y) d y