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Beliebt Rechnen >

derivative y=x^3-x^2+x-1

Lösung

ableitung von

y = x^{3} - x^{2} + x - 1

Lösung

3 x^{2} - 2 x + 1

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

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

\frac{d x}{d x} = 1

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

= 3 x^{2} - 2 x + 1 - 0

Vereinfache

= 3 x^{2} - 2 x + 1

Graph

Beliebte Beispiele

derivative 4/((x-1))

d er i v a t i v e \frac{4}{( x - 1 )}

derivative 8/(((x-2)^{1/2))}

d er i v a t i v e \frac{8}{( ( x - 2 ) ^{\frac{1}{2}} )}

derivative 1/((x+2)^4)

d er i v a t i v e \frac{1}{( x + 2 ) ^{4}}

derivative 5*sin^2(x)-8*cos^5(x)

d er i v a t i v e 5 \cdot sin^{2} (x) - 8 \cdot cos^{5} (x)

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d er i v a t i v e 5 t^{4}