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Beliebt Rechnen >

derivative x^4+8x+6

Lösung

ableitung von

x^{4} + 8 x + 6

Lösung

4 x^{3} + 8

Schritte zur Lösung

\frac{d}{d x} (x^{4} + 8 x + 6)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (x^{4}) + \frac{d}{d x} (8 x) + \frac{d}{d x} (6)

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

\frac{d}{d x} (8 x) = 8

\frac{d}{d x} (6) = 0

= 4 x^{3} + 8 + 0

Vereinfache

= 4 x^{3} + 8

Graph

Beliebte Beispiele

derivative of (3-x^2(x^3-x+1))

\frac{d}{d x} ((3 - x^{2}) (x^{3} - x + 1))

derivative of (x^2/(2x))

\frac{d}{d x} (\frac{x ^{2}}{2 x})

integral of (x^4+x^3+x^2+1)/(x^2+x-2)

\int \frac{x ^{4} + x ^{3} + x ^{2} + 1}{x ^{2} + x - 2} d x

derivative of (4x/(5x^2+3))

\frac{d}{d x} (\frac{4 x}{5 x ^{2} + 3})

integral of 8/(36x^2+4)

\int \frac{8}{36 x ^{2} + 4} d x