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Beliebt Rechnen >

derivative y=4x^2+1

Lösung

ableitung von

y = 4 x^{2} + 1

Lösung

8 x

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (4 x^{2}) + \frac{d}{d x} (1)

\frac{d}{d x} (4 x^{2}) = 8 x

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

= 8 x + 0

Vereinfache

= 8 x

Graph

Beliebte Beispiele

integral of 2x^3e^{x^2}

\int 2 x^{3} e^{x^{2}} d x

integral of (1/(2sqrt(x)))

\int (\frac{1}{2 x}) d x

fläche y=sqrt(3x),x=0,x=4

a re a y = 3 x, x = 0, x = 4

xdy-ydx=2x^2y^2dy,y(1)=2

x d y - y d x = 2 x^{2} y^{2} d y, y (1) = 2

derivative of cos(2xcos(x))

\frac{d}{d x} (cos (2 x) cos (x))