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Beliebt Rechnen >

derivative of x^3+2x+3

Lösung

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

Lösung

3 x^{2} + 2

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

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

\frac{d}{d x} (3) = 0

= 3 x^{2} + 2 + 0

Vereinfache

= 3 x^{2} + 2

Graph

Beliebte Beispiele

derivative f(x)=4x^2+9x

d er i v a t i v e f (x) = 4 x^{2} + 9 x

integral from-2 to 1 of sqrt(1+(-3)^2)

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

integral of cos^2(x)sin^4(x)

\int cos^{2} (x) sin^{4} (x) d x

integral of e^{-sx}*x^2

\int e^{- s x} \cdot x^{2} d x

tangent-x^2+9x+3,\at x=5

t an g e n t - x^{2} + 9 x + 3, at x = 5