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Beliebt Rechnen >

(\partial)/(\partial x)(5sqrt(2x))

Lösung

\frac{\partial}{\partial x} (5 2 x)

Lösung

\frac{5}{2 x}

Schritte zur Lösung

\frac{\partial}{\partial x} (5 2 x)

Vereinfache

5 2 x : 52 x

= \frac{\partial}{\partial x} (52 x)

Entferne die Konstante:

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

= 52 \frac{\partial}{\partial x} (x)

Wende Radikal Regel an:

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

= 52 \frac{\partial}{\partial x} (x^{\frac{1}{2}})

Wende die Potenzregel an:

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

= 52 \frac{1}{2} x^{\frac{1}{2} - 1}

Vereinfache

52 \frac{1}{2} x^{\frac{1}{2} - 1} : \frac{5}{2 x}

= \frac{5}{2 x}

Beliebte Beispiele

integral of (7ln(x))/(x^4)

\int \frac{7 ln ( x )}{x ^{4}} d x

sum from n=1 to infinity of n^2e^{-n^2}

n = 1 \sum \infty n^{2} e^{- n^{2}}

integral of (3x^2)/(sqrt(1-x^2))

\int \frac{3 x ^{2}}{1 - x ^{2}} d x

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\int \frac{1}{p - z} + \frac{1}{z} d z

integral of 4(x-1)

\int 4 (x - 1) d x