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Beliebt Rechnen >

(2sqrt(x))^'

Lösung

(2 x)^{^{'}}

Lösung

\frac{1}{x}

Schritte zur Lösung

(2 x)^{'}

Entferne die Konstante:

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

= 2 (x)^{^{'}}

Wende Radikal Regel an:

a = a^{\frac{1}{2}}

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

Wende die Potenzregel an:

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

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

Vereinfache

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

= \frac{1}{x}

Graph

Beliebte Beispiele

tangent f(x)=x^2+3x,\at x=0

t an g e n t f (x) = x^{2} + 3 x, at x = 0

(\partial)/(\partial x)(sqrt(x)ln(t))

\frac{\partial}{\partial x} (x ln (t))

5 y^{^{'}} - 15 x^{2} = 0

limit as n approaches 10 of [1+(1/n)]^n

n \to 10 lim ([1 + (\frac{1}{n})]^{n})

derivative of 2(1-x^{-3})

\frac{d}{d x} (2 (1 - x)^{- 3})