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Beliebt Rechnen >

derivative of sqrt(x)+5sin(x)

Lösung

\frac{d}{d x} (x + 5 sin (x))

Lösung

\frac{1}{2 x} + 5 cos (x)

Schritte zur Lösung

\frac{d}{d x} (x + 5 sin (x))

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (x) + \frac{d}{d x} (5 sin (x))

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

\frac{d}{d x} (5 sin (x)) = 5 cos (x)

= \frac{1}{2 x} + 5 cos (x)

Graph

Beliebte Beispiele

derivative f(x)=19e^{x^2}

d er i v a t i v e f (x) = 19 e^{x^{2}}

f (x) = e^{e^{x}}

y*e^{2x}dx=(1+e^{2x})dy

y \cdot e^{2 x} d x = (1 + e^{2 x}) d y

laplacetransform cos(25pit+pi/2)

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d/(dy)((x+y)/(xy))

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