derivative of sqrt(3x^2-6x+9)

Lösung

\frac{d}{d x} (3 x^{2} - 6 x + 9)

\frac{3 ( x - 1 )}{3 x ^{2} - 6 x + 9}

Schritte zur Lösung

\frac{d}{d x} (3 x^{2} - 6 x + 9)

Wende die Kettenregel an:

\frac{1}{2 3 x ^{2} - 6 x + 9} \frac{d}{d x} (3 x^{2} - 6 x + 9)

= \frac{1}{2 3 x ^{2} - 6 x + 9} \frac{d}{d x} (3 x^{2} - 6 x + 9)

\frac{d}{d x} (3 x^{2} - 6 x + 9) = 6 x - 6

= \frac{1}{2 3 x ^{2} - 6 x + 9} (6 x - 6)

Vereinfache

\frac{1}{2 3 x ^{2} - 6 x + 9} (6 x - 6) : \frac{3 ( x - 1 )}{3 x ^{2} - 6 x + 9}

= \frac{3 ( x - 1 )}{3 x ^{2} - 6 x + 9}

\frac{\partial}{\partial x} (y - \frac{216}{x ^{2}})

t an g e n t tan (x)

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