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Beliebt Rechnen >

derivative f(x)=3x^2+2x+1

Lösung

ableitung von

f (x) = 3 x^{2} + 2 x + 1

Lösung

6 x + 2

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

\frac{d}{d x} (3 x^{2}) = 6 x

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

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

= 6 x + 2 + 0

Vereinfache

= 6 x + 2

Graph

Beliebte Beispiele

fläche x^2-4x+7,2x^2-3x+1

a re a x^{2} - 4 x + 7, 2 x^{2} - 3 x + 1

derivative xsin(5x)

d er i v a t i v e x sin (5 x)

tangent-2sin(x),\at x=-pi/3

t an g e n t - 2 sin (x), at x = - \frac{π}{3}

integral from 3 to 0 of x^2

\int_{3}^{0} x^{2} d x

tangent (5x)/(x+2)

t an g e n t \frac{5 x}{x + 2}