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Beliebt Rechnen >

derivative of x^2-cos(x)

Lösung

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

Lösung

2 x + sin (x)

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

\frac{d}{d x} (cos (x)) = - sin (x)

= 2 x - (- sin (x))

Vereinfache

= 2 x + sin (x)

Graph

Beliebte Beispiele

(dy)/(dx)=(1-y)/(1+e^x)

\frac{d y}{d x} = \frac{1 - y}{1 + e ^{x}}

derivative 1/(2x+3)

d er i v a t i v e \frac{1}{2 x + 3}

limit as x approaches-3 of x-2

x \to - 3 lim (x - 2)

integral from 1 to 2 of 1/((x-1)^2)

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

tangent y=8+4x^2-2x^3

t an g e n t y = 8 + 4 x^{2} - 2 x^{3}