de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

derivative of x^5-4x^3+2x-3

Lösung

\frac{d}{d x} (x^{5} - 4 x^{3} + 2 x - 3)

Lösung

5 x^{4} - 12 x^{2} + 2

Schritte zur Lösung

\frac{d}{d x} (x^{5} - 4 x^{3} + 2 x - 3)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (x^{5}) - \frac{d}{d x} (4 x^{3}) + \frac{d}{d x} (2 x) - \frac{d}{d x} (3)

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

\frac{d}{d x} (4 x^{3}) = 12 x^{2}

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

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

= 5 x^{4} - 12 x^{2} + 2 - 0

Vereinfache

= 5 x^{4} - 12 x^{2} + 2

Graph

Beliebte Beispiele

derivative of (x^2+xe^x)

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

y^3dx=2x^3dy-2x^2ydx

y^{3} d x = 2 x^{3} d y - 2 x^{2} y d x

integral of sqrt(1+(16)/(9*x^{2/3))}

\int 1 + \frac{16}{9 \cdot x ^{\frac{2}{3}}} d x

integral from 0 to 7 of sqrt(1+9x)

\int_{0}^{7} 1 + 9 x d x

6y^{'''}+3y^{''}=0

6 y^{^{'''}} + 3 y^{^{''}} = 0