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Beliebt Rechnen >

derivative f(x)=x^3-3x^2+4x-7

Lösung

ableitung von

f (x) = x^{3} - 3 x^{2} + 4 x - 7

Lösung

3 x^{2} - 6 x + 4

Schritte zur Lösung

\frac{d}{d x} (x^{3} - 3 x^{2} + 4 x - 7)

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 x) - \frac{d}{d x} (7)

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

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

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

\frac{d}{d x} (7) = 0

= 3 x^{2} - 6 x + 4 - 0

Vereinfache

= 3 x^{2} - 6 x + 4

Graph

Beliebte Beispiele

integral of cos(x)+2

\int cos (x) + 2 d x

derivative of x(7x+9^{1/3})

\frac{d}{d x} (x (7 x + 9)^{\frac{1}{3}})

25 y^{^{''}} + 2 y = 0

tangent f(x)=-x^3,(2,-8)

t an g e n t f (x) = - x^{3}, (2, - 8)

integral from-infinity to-1 of e^{-30t}

\int_{- \infty}^{- 1} e^{- 30 t} d t