(\partial)/(\partial x)(sqrt(9-x))

Lösung

\frac{\partial}{\partial x} (9 - x)

- \frac{1}{2 9 - x}

Schritte zur Lösung

\frac{\partial}{\partial x} (9 - x)

Wende die Kettenregel an:

\frac{1}{2 9 - x} \frac{\partial}{\partial x} (9 - x)

= \frac{1}{2 9 - x} \frac{\partial}{\partial x} (9 - x)

\frac{\partial}{\partial x} (9 - x) = - 1

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

Vereinfache

= - \frac{1}{2 9 - x}

x \to 0 lim (\frac{x - ∣ x ∣}{2 x})

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