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Beliebt Rechnen >

derivative of x^5+x+1

Lösung

\frac{d}{d x} (x^{5} + x + 1)

Lösung

5 x^{4} + 1

Schritte zur Lösung

\frac{d}{d x} (x^{5} + x + 1)

Wende die Summen-/Differenzregel an:

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

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

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

\frac{d x}{d x} = 1

\frac{d}{d x} (1) = 0

= 5 x^{4} + 1 + 0

Vereinfache

= 5 x^{4} + 1

Graph

Beliebte Beispiele

derivative of (((0.06x^2+17x+340))/x)

\frac{d}{d x} (\frac{( ( 0.06 x ^{2} ) + 17 x + 340 )}{x})

laplacetransform 2e^{t/2}

l a pl a ce t r an s f or m 2 e^{\frac{t}{2}}

integral from 2 to t of 1/((5x^5))

\int_{2}^{t} \frac{1}{( 5 x ^{5} )} d x

integral of 1/(P-P^2)

\int \frac{1}{P - P ^{2}} d P

integral of x/(x+4)

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