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Beliebt Rechnen >

derivative of x^5-5x

Lösung

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

Lösung

5 x^{4} - 5

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

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

= 5 x^{4} - 5

Graph

Beliebte Beispiele

integral of (x^2)/(x+4)

\int \frac{x ^{2}}{x + 4} d x

(1+ln(x)+y/x)dx+(1-ln(x))dy=0

(1 + ln (x) + \frac{y}{x}) d x + (1 - ln (x)) d y = 0

d/(dt)(e^{2t}*y)

\frac{d}{d t} (e^{2 t} \cdot y)

limit as x approaches 4 of ((2+x)^3-8)/x

x \to 4 lim (\frac{( 2 + x ) ^{3} - 8}{x})

laplacetransform 2(s+2)

l a pl a ce t r an s f or m 2 (s + 2)