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Beliebt Rechnen >

derivative of x+cos(x^2)

Lösung

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

Lösung

1 - sin (x^{2}) \cdot 2 x

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

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

= 1 - sin (x^{2}) \cdot 2 x

Graph

Beliebte Beispiele

integral of 5e^{3x}

\int 5 e^{3 x} d x

extreme h(w)=((x+1)e^x)/(w-2)

e x t re m e h (w) = \frac{( x + 1 ) e ^{x}}{w - 2}

derivative f(x)=5x^2-5x

d er i v a t i v e f (x) = 5 x^{2} - 5 x

integral of (2x)/(x-4)

\int \frac{2 x}{x - 4} d x

(x^2+5)dx+(y-3)(x-2)dy=0

(x^{2} + 5) d x + (y - 3) (x - 2) d y = 0