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Beliebt Rechnen >

derivative of x^4+x^3+x^2+1

Lösung

\frac{d}{d x} (x^{4} + x^{3} + x^{2} + 1)

Lösung

4 x^{3} + 3 x^{2} + 2 x

Schritte zur Lösung

\frac{d}{d x} (x^{4} + x^{3} + x^{2} + 1)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (x^{4}) + \frac{d}{d x} (x^{3}) + \frac{d}{d x} (x^{2}) + \frac{d}{d x} (1)

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

\frac{d}{d x} (x^{3}) = 3 x^{2}

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

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

= 4 x^{3} + 3 x^{2} + 2 x + 0

Vereinfache

= 4 x^{3} + 3 x^{2} + 2 x

Graph

Beliebte Beispiele

integral of (2x+3)/(sqrt(x))

\int \frac{2 x + 3}{x} d x

tangent f(x)=4-x^2,(-1,3)

t an g e n t f (x) = 4 - x^{2}, (- 1, 3)

derivative 7xsin(x)

d er i v a t i v e 7 x sin (x)

integral from 1 to 3 of 2x+3

\int_{1}^{3} 2 x + 3 d x

derivative of 1/(9x+1)

\frac{d}{d x} (\frac{1}{9 x + 1})