de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

derivative f(x)=(x^5-4x^3-7)^8

Lösung

ableitung von

f (x) = (x^{5} - 4 x^{3} - 7)^{8}

Lösung

8 (x^{5} - 4 x^{3} - 7)^{7} (5 x^{4} - 12 x^{2})

Schritte zur Lösung

\frac{d}{d x} ((x^{5} - 4 x^{3} - 7)^{8})

Wende die Kettenregel an:

8 (x^{5} - 4 x^{3} - 7)^{7} \frac{d}{d x} (x^{5} - 4 x^{3} - 7)

= 8 (x^{5} - 4 x^{3} - 7)^{7} \frac{d}{d x} (x^{5} - 4 x^{3} - 7)

\frac{d}{d x} (x^{5} - 4 x^{3} - 7) = 5 x^{4} - 12 x^{2}

= 8 (x^{5} - 4 x^{3} - 7)^{7} (5 x^{4} - 12 x^{2})

Graph

Beliebte Beispiele

laplacetransform 10e^{-10t}

l a pl a ce t r an s f or m 10 e^{- 10 t}

derivative f(x)=ln(x^4)

d er i v a t i v e f (x) = ln (x^{4})

integral of cos(1/3 x)

\int cos (\frac{1}{3} x) d x

inverselaplace 1/((s-7)^3)

in v erse l a pl a ce \frac{1}{( s - 7 ) ^{3}}

limit as x approaches infinity of 1^{2x}

x \to \infty lim (1^{2 x})