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Beliebt Rechnen >

derivative of sin(x+sqrt(x))

Lösung

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

Lösung

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

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

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

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

Graph

Beliebte Beispiele

integral of (x^4-2x+1)/(x^2)

\int \frac{x ^{4} - 2 x + 1}{x ^{2}} d x

(\partial)/(\partial x)(sin(x)yz)

\frac{\partial}{\partial x} (sin (x) yz)

derivative 5sin(x-0.64)

d er i v a t i v e 5 sin (x - 0.64)

integral of 7sqrt(16-2x)-14

\int 7 16 - 2 x - 14 d x

limit as x approaches-7-of (x+6)/(x+7)

x \to - 7 - lim (\frac{x + 6}{x + 7})