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Beliebt Rechnen >

derivative of (2x^2-7sqrt(x)+6^2)

Lösung

\frac{d}{d x} ((2 x^{2} - 7 x + 6)^{2})

Lösung

16 x^{3} - 14 x^{\frac{3}{2}} - 56 x x + 49 + 48 x - \frac{42}{x}

Schritte zur Lösung

\frac{d}{d x} ((2 x^{2} - 7 x + 6)^{2})

Wende die Kettenregel an:

2 (2 x^{2} - 7 x + 6) \frac{d}{d x} (2 x^{2} - 7 x + 6)

= 2 (2 x^{2} - 7 x + 6) \frac{d}{d x} (2 x^{2} - 7 x + 6)

\frac{d}{d x} (2 x^{2} - 7 x + 6) = 4 x - \frac{7}{2 x}

= 2 (2 x^{2} - 7 x + 6) (4 x - \frac{7}{2 x})

Vereinfache

2 (2 x^{2} - 7 x + 6) (4 x - \frac{7}{2 x}) : 16 x^{3} - 14 x^{\frac{3}{2}} - 56 x x + 49 + 48 x - \frac{42}{x}

= 16 x^{3} - 14 x^{\frac{3}{2}} - 56 x x + 49 + 48 x - \frac{42}{x}

Graph

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