derivative of sqrt(x^2-6x+9)

Lösung

\frac{d}{d x} (x^{2} - 6 x + 9)

1

Schritte zur Lösung

\frac{d}{d x} (x^{2} - 6 x + 9)

Wende die Kettenregel an:

\frac{1}{2 x ^{2} - 6 x + 9} \frac{d}{d x} (x^{2} - 6 x + 9)

= \frac{1}{2 x ^{2} - 6 x + 9} \frac{d}{d x} (x^{2} - 6 x + 9)

\frac{d}{d x} (x^{2} - 6 x + 9) = 2 x - 6

= \frac{1}{2 x ^{2} - 6 x + 9} (2 x - 6)

Vereinfache

\frac{1}{2 x ^{2} - 6 x + 9} (2 x - 6) : 1

= 1

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