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Beliebt Rechnen >

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

Lösung

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

Lösung

4 x^{3} - 4 x

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

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

\frac{d}{d x} (3) = 0

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

Vereinfache

= 4 x^{3} - 4 x

Graph

Beliebte Beispiele

tangent y=(x^3-9x)^{10},(3,0)

t an g e n t y = (x^{3} - 9 x)^{10}, (3, 0)

tangent y=3x^3-3x,(-4,0)

t an g e n t y = 3 x^{3} - 3 x, (- 4, 0)

integral from 0 to 3 of (5-5/3 x)^2

\int_{0}^{3} (5 - \frac{5}{3} x)^{2} d x

steigung (-10.6)(-5.8)

s l o p e (- 10.6) (- 5.8)

derivative of sqrt(5x-x^2)

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