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Beliebt Rechnen >

derivative f(x)=x^3-2x^2+5

Lösung

ableitung von

f (x) = x^{3} - 2 x^{2} + 5

Lösung

3 x^{2} - 4 x

Schritte zur Lösung

\frac{d}{d x} (x^{3} - 2 x^{2} + 5)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (x^{3}) - \frac{d}{d x} (2 x^{2}) + \frac{d}{d x} (5)

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

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

\frac{d}{d x} (5) = 0

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

Vereinfache

= 3 x^{2} - 4 x

Graph

Beliebte Beispiele

derivative f(x)=3x^3+6x^2+7x

d er i v a t i v e f (x) = 3 x^{3} + 6 x^{2} + 7 x

integral of (2x^4+x^2-x-2)/(x^3(x+1))

\int \frac{2 x ^{4} + x ^{2} - x - 2}{x ^{3} ( x + 1 )} d x

integral of 2xsin(x)

\int 2 x sin (x) d x

y^'+8y=t+e^{-7t}

y^{^{'}} + 8 y = t + e^{- 7 t}

derivative 5x^3-6cos(x)

d er i v a t i v e 5 x^{3} - 6 cos (x)