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Beliebt Rechnen >

derivative f(x)=2x^3+4x^2+6x

Lösung

ableitung von

f (x) = 2 x^{3} + 4 x^{2} + 6 x

Lösung

6 x^{2} + 8 x + 6

Schritte zur Lösung

\frac{d}{d x} (2 x^{3} + 4 x^{2} + 6 x)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (2 x^{3}) + \frac{d}{d x} (4 x^{2}) + \frac{d}{d x} (6 x)

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

\frac{d}{d x} (4 x^{2}) = 8 x

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

= 6 x^{2} + 8 x + 6

Graph

Beliebte Beispiele

limit as x approaches 0+of sin((5pi)/6 e^{sqrt(x)})

x \to 0 + lim (sin (\frac{5 π}{6} e^{x}))

integral of (x+1)[ln(x+1)+c]

\int (x + 1) [ln (x + 1) + c] d x

y^{2} y^{^{'}} = y^{2}

tangent f(x)=x^2-2x

t an g e n t f (x) = x^{2} - 2 x

integral of (x^3)/(sqrt(x^2+9))

\int \frac{x ^{3}}{x ^{2} + 9} d x