de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

derivative of 5-2(x-2^2)

Lösung

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

Lösung

- 4 x + 8

Schritte zur Lösung

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

Vereinfache

5 - 2 (x - 2)^{2} : - 2 x^{2} + 8 x - 3

= \frac{d}{d x} (- 2 x^{2} + 8 x - 3)

Wende die Summen-/Differenzregel an:

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

= - \frac{d}{d x} (2 x^{2}) + \frac{d}{d x} (8 x) - \frac{d}{d x} (3)

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

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

\frac{d}{d x} (3) = 0

= - 4 x + 8 - 0

Vereinfache

= - 4 x + 8

Graph

Beliebte Beispiele

\frac{d}{d y} (y x)

(\partial)/(\partial t)(cos(t)-sin(t))

\frac{\partial}{\partial t} (cos (t) - sin (t))

(\partial)/(\partial x)((x+y)/(1+x^2))

\frac{\partial}{\partial x} (\frac{x + y}{1 + x ^{2}})

(d^4)/(dx^4)(1/(1-x))

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

\frac{d}{d t} (t + 3)