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Beliebt Rechnen >

d/(dl)(2pisqrt(l/(9.8)))

Lösung

\frac{d}{d l} (2 π \frac{l}{9.8})

Lösung

\frac{1.00354 \dots}{l}

Schritte zur Lösung

\frac{d}{d l} (2 π \frac{l}{9.8})

Vereinfache

2 π \frac{l}{9.8} : 2.00708 \dots l

= \frac{d}{d l} (2.00708 \dots l)

Entferne die Konstante:

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

= 2.00708 \dots \frac{d}{d l} (l)

Wende Radikal Regel an:

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

= 2.00708 \dots \frac{d}{d l} (l^{\frac{1}{2}})

Wende die Potenzregel an:

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

= 2.00708 \dots \cdot \frac{1}{2} l^{\frac{1}{2} - 1}

Vereinfache

2.00708 \dots \cdot \frac{1}{2} l^{\frac{1}{2} - 1} : \frac{1.00354 \dots}{l}

= \frac{1.00354 \dots}{l}

Graph

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