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Beliebt Rechnen >

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

Lösung

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

Lösung

4 x^{3} - 4 a x - \frac{d y}{d x}

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

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

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

= 4 x^{3} - 4 a x - \frac{d y}{d x} + 0

Vereinfache

= 4 x^{3} - 4 a x - \frac{d y}{d x}

Beliebte Beispiele

integral of 2x(x^2+10)^3

\int 2 x (x^{2} + 10)^{3} d x

integral of e^{8x}cos(5x)

\int e^{8 x} cos (5 x) d x

tangent f(x)=2e^x+x,\at x=0

t an g e n t f (x) = 2 e^{x} + x, at x = 0

derivative f(x)=tsin(t)

d er i v a t i v e f (x) = t sin (t)

fläche y=8x,y=x^2

a re a y = 8 x, y = x^{2}