de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

derivative y=8x^5+10x^3-4

Lösung

ableitung von

y = 8 x^{5} + 10 x^{3} - 4

Lösung

40 x^{4} + 30 x^{2}

Schritte zur Lösung

\frac{d}{d x} (8 x^{5} + 10 x^{3} - 4)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (8 x^{5}) + \frac{d}{d x} (10 x^{3}) - \frac{d}{d x} (4)

\frac{d}{d x} (8 x^{5}) = 40 x^{4}

\frac{d}{d x} (10 x^{3}) = 30 x^{2}

\frac{d}{d x} (4) = 0

= 40 x^{4} + 30 x^{2} - 0

Vereinfache

= 40 x^{4} + 30 x^{2}

Graph

Beliebte Beispiele

derivative of log_{e}((3+x/(3-x)))

derivative of (8x/(x^2+1))

integral of 8e^{-kx}

integral of 1/(x^2+6x+16)

limit as x approaches 0 of (sin(x))/(9x)