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Beliebt Geometry >

d/(dX)(-1/9 (X-3)^2+4)

Lösung

\frac{d}{d X} (- \frac{1}{9} (X - 3)^{2} + 4)

Lösung

- \frac{2}{9} (X - 3)

Schritte zur Lösung

\frac{d}{d X} (- \frac{1}{9} (X - 3)^{2} + 4)

Vereinfache

- \frac{1}{9} (X - 3)^{2} + 4 : - \frac{( X - 3 ) ^{2}}{9} + 4

= \frac{d}{d X} (- \frac{( X - 3 ) ^{2}}{9} + 4)

Wende die Summen-/Differenzregel an:

(f \pm g)^{'} = f^{'} \pm g^{'}

= - \frac{d}{d X} (\frac{( X - 3 ) ^{2}}{9}) + \frac{d}{d X} (4)

\frac{d}{d X} (\frac{( X - 3 ) ^{2}}{9}) = \frac{2}{9} (X - 3)

\frac{d}{d X} (4) = 0

= - \frac{2}{9} (X - 3) + 0

Vereinfache

= - \frac{2}{9} (X - 3)

Graph

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