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Beliebt Rechnen >

derivative of sqrt(2x^2-5x+4)

Lösung

\frac{d}{d x} (2 x^{2} - 5 x + 4)

Lösung

\frac{4 x - 5}{2 2 x ^{2} - 5 x + 4}

Schritte zur Lösung

\frac{d}{d x} (2 x^{2} - 5 x + 4)

Wende die Kettenregel an:

\frac{1}{2 2 x ^{2} - 5 x + 4} \frac{d}{d x} (2 x^{2} - 5 x + 4)

= \frac{1}{2 2 x ^{2} - 5 x + 4} \frac{d}{d x} (2 x^{2} - 5 x + 4)

\frac{d}{d x} (2 x^{2} - 5 x + 4) = 4 x - 5

= \frac{1}{2 2 x ^{2} - 5 x + 4} (4 x - 5)

Vereinfache

\frac{1}{2 2 x ^{2} - 5 x + 4} (4 x - 5) : \frac{4 x - 5}{2 2 x ^{2} - 5 x + 4}

= \frac{4 x - 5}{2 2 x ^{2} - 5 x + 4}

Graph

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