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Beliebt Rechnen >

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

Lösung

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

Lösung

3 x^{2} - 6 x

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

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

\frac{d}{d x} (4) = 0

= 3 x^{2} - 6 x + 0

Vereinfache

= 3 x^{2} - 6 x

Graph

Beliebte Beispiele

integral of 1/(csc(5x)sqrt(cos(5x)))

\int \frac{1}{csc ( 5 x ) cos ( 5 x )} d x

derivative of e^{2x+y}

\frac{d}{d x} (e^{2 x + y})

integral of (x^4-5e^{-2x})

\int (x^{4} - 5 e^{- 2 x}) d x

x(dy)/(dx)+y=x,y(1)=3

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integral from 0 to (3pi)/2 of cos^3(37x)

\int_{0}^{\frac{3 π}{2}} cos^{3} (37 x) d x