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Beliebt Rechnen >

derivative of 700sqrt(x^2-0.2x)

Lösung

\frac{d}{d x} (700 x^{2} - 0.2 x)

Lösung

\frac{350 ( 2 x - 0.2 )}{x ^{2} - 0.2 x}

Schritte zur Lösung

\frac{d}{d x} (700 x^{2} - 0.2 x)

Entferne die Konstante:

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

= 700 \frac{d}{d x} (x^{2} - 0.2 x)

Wende die Kettenregel an:

\frac{1}{2 x ^{2} - 0.2 x} \frac{d}{d x} (x^{2} - 0.2 x)

= \frac{1}{2 x ^{2} - 0.2 x} \frac{d}{d x} (x^{2} - 0.2 x)

\frac{d}{d x} (x^{2} - 0.2 x) = 2 x - 0.2

= 700 \cdot \frac{1}{2 x ^{2} - 0.2 x} (2 x - 0.2)

Vereinfache

700 \cdot \frac{1}{2 x ^{2} - 0.2 x} (2 x - 0.2) : \frac{350 ( 2 x - 0.2 )}{x ^{2} - 0.2 x}

= \frac{350 ( 2 x - 0.2 )}{x ^{2} - 0.2 x}

Graph

Beliebte Beispiele

integral of 5/6 sec(x)tan(x)

\int \frac{5}{6} sec (x) tan (x) d x

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