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Beliebt Rechnen >

derivative f(x)=sqrt(8x^2-x)

Lösung

ableitung von

f (x) = 8 x^{2} - x

Lösung

\frac{16 x - 1}{2 8 x ^{2} - x}

Schritte zur Lösung

\frac{d}{d x} (8 x^{2} - x)

Wende die Kettenregel an:

\frac{1}{2 8 x ^{2} - x} \frac{d}{d x} (8 x^{2} - x)

= \frac{1}{2 8 x ^{2} - x} \frac{d}{d x} (8 x^{2} - x)

\frac{d}{d x} (8 x^{2} - x) = 16 x - 1

= \frac{1}{2 8 x ^{2} - x} (16 x - 1)

Vereinfache

\frac{1}{2 8 x ^{2} - x} (16 x - 1) : \frac{16 x - 1}{2 8 x ^{2} - x}

= \frac{16 x - 1}{2 8 x ^{2} - x}

Graph

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