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Beliebt Rechnen >

derivative of x^4+1/(x^4)

Lösung

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

Lösung

4 x^{3} - \frac{4}{x ^{5}}

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (x^{4}) + \frac{d}{d x} (\frac{1}{x ^{4}})

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

\frac{d}{d x} (\frac{1}{x ^{4}}) = - \frac{4}{x ^{5}}

= 4 x^{3} - \frac{4}{x ^{5}}

Graph

Beliebte Beispiele

derivative (sqrt(s)-4)/(sqrt(s)+2)

d er i v a t i v e \frac{s - 4}{s + 2}

derivative of arccos(1/2 x)

\frac{d}{d x} (arccos (\frac{1}{2} x))

implicit e^{xy}+y^3=2arcsin(x)+ln(y)

im pl i c i t e^{x y} + y^{3} = 2 arcsin (x) + ln (y)

integral of (ln(x))^5 1/x

\int (ln (x))^{5} \frac{1}{x} d x

\frac{d y}{d x} + x y = x