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Beliebt Rechnen >

derivative of (cx^{1/2})

Lösung

\frac{d}{d x} ((c x)^{\frac{1}{2}})

Lösung

\frac{c ^{\frac{1}{2}}}{2 x ^{\frac{1}{2}}}

Schritte zur Lösung

\frac{d}{d x} ((c x)^{\frac{1}{2}})

Wende die Kettenregel an:

\frac{1}{2 ( c x ) ^{\frac{1}{2}}} \frac{d}{d x} (c x)

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

\frac{d}{d x} (c x) = c

= \frac{1}{2 ( c x ) ^{\frac{1}{2}}} c

Vereinfache

\frac{1}{2 ( c x ) ^{\frac{1}{2}}} c : \frac{c ^{\frac{1}{2}}}{2 x ^{\frac{1}{2}}}

= \frac{c ^{\frac{1}{2}}}{2 x ^{\frac{1}{2}}}

Graph

Beliebte Beispiele

limit as t approaches 2-of-(3t)/(t-2)

t \to 2 - lim (- \frac{3 t}{t - 2})

derivative 11x^2e^x

d er i v a t i v e 11 x^{2} e^{x}

sum from n=0 to infinity of (e^n)/((n!))

n = 0 \sum \infty \frac{e ^{n}}{( n ! )}

integral of (e^{4x})

\int (e^{4 x}) d x

(dN)/(dt)+N=Nte^{t+3}

\frac{d N}{d t} + N = Nt e^{t + 3}