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Beliebt Rechnen >

derivative of 2+sqrt(5x)

Lösung

\frac{d}{d x} (2 + 5 x)

Lösung

\frac{5}{2 x}

Schritte zur Lösung

\frac{d}{d x} (2 + 5 x)

Vereinfache

2 + 5 x : 2 + 5 x

= \frac{d}{d x} (2 + 5 x)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (2) + \frac{d}{d x} (5 x)

\frac{d}{d x} (2) = 0

\frac{d}{d x} (5 x) = \frac{5}{2 x}

= 0 + \frac{5}{2 x}

Vereinfache

= \frac{5}{2 x}

Graph

Beliebte Beispiele

sum from n=2 to infinity of n^2-n

n = 2 \sum \infty n^{2} - n

d/(dz)((z^2)/2-(z^7)/7)

\frac{d}{d z} (\frac{z ^{2}}{2} - \frac{z ^{7}}{7})

derivative of sqrt(x)cos(x)

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

integral of cos^7(x)tan^3(x)

\int cos^{7} (x) tan^{3} (x) d x

derivative of x^{sqrt(5)}

\frac{d}{d x} (x^{5})