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Beliebt Rechnen >

derivative of sqrt(x+1)-sqrt(x)

Lösung

\frac{d}{d x} (x + 1 - x)

Lösung

\frac{1}{2 x + 1} - \frac{1}{2 x}

Schritte zur Lösung

\frac{d}{d x} (x + 1 - x)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (x + 1) - \frac{d}{d x} (x)

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

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

= \frac{1}{2 x + 1} - \frac{1}{2 x}

Graph

Beliebte Beispiele

d/(dθ)(3tan(θ))

\frac{d}{d θ} (3 tan (θ))

sum from n=1 to infinity}a^{n-1 of*n

n = 1 \sum \infty a^{n - 1} \cdot n

integral of sin(x+5)

\int sin (x + 5) d x

integral of 3x^2-2x+5

\int 3 x^{2} - 2 x + 5 d x

\int k t d t