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Beliebt Rechnen >

derivative of cos(x+x)

Lösung

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

Lösung

- sin (x) + 1

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (cos (x)) + \frac{d x}{d x}

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

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

= - sin (x) + 1

Graph

Beliebte Beispiele

derivative of 3x^2-12x

\frac{d}{d x} (3 x^{2} - 12 x)

integral of ln(12x)

\int ln (12 x) d x

integral of 2xe^{x^2+3}

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

limit as x approaches 8 of (x-8)/(x^{1/3)-2}

x \to 8 lim (\frac{x - 8}{x ^{\frac{1}{3}} - 2})

limit as x approaches+0 of (3x)/(xe^x)

x \to + 0 lim (\frac{3 x}{x e ^{x}})