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Beliebt Rechnen >

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

Lösung

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

Lösung

3 x^{2} + 2 x + 1

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

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

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

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

= 3 x^{2} + 2 x + 1 + 0

Vereinfache

= 3 x^{2} + 2 x + 1

Graph

Beliebte Beispiele

integral of 1/((1+cos(x))^2)

\int \frac{1}{( 1 + cos ( x ) ) ^{2}} d x

integral of 1/(t+2)

\int \frac{1}{t + 2} d t

integral from-1 to 2 of x^2e^{x^3+1}

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

f(x)=ln(sec(x))

f (x) = ln (sec (x))

integral from 1 to x of t^4

\int_{1}^{x} t^{4} d t