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Beliebt Rechnen >

derivative of 2x^{0.5}

Lösung

\frac{d}{d x} (2 x^{0.5})

Lösung

\frac{1}{x ^{0.5}}

Schritte zur Lösung

\frac{d}{d x} (2 x^{0.5})

Entferne die Konstante:

(a \cdot f)^{'} = a \cdot f^{'}

= 2 \frac{d}{d x} (x^{0.5})

Wende die Potenzregel an:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= 2 \cdot 0.5 x^{0.5 - 1}

Vereinfache

2 \cdot 0.5 x^{0.5 - 1} : \frac{1}{x ^{0.5}}

= \frac{1}{x ^{0.5}}

Graph

Beliebte Beispiele

integral of 2sin^3(xco)s^7x

\int 2 sin^{3} (x co) s^{7} x

tangent f(x)= 9/x ,\at x=5

t an g e n t f (x) = \frac{9}{x}, at x = 5

derivative of (2x-3/(x^2))

\frac{d}{d x} (\frac{2 x - 3}{x ^{2}})

sum from n=0 to infinity of i^n

n = 0 \sum \infty i^{n}

derivative (x+1/x)^4

d er i v a t i v e (x + \frac{1}{x})^{4}