(\partial)/(\partial x)(({f}(x))(x-2)^2)

Lösung

\frac{\partial}{\partial x} ((f (x)) (x - 2)^{2})

\frac{\partial}{\partial x} (f (x)) (x - 2)^{2} + 2 (x - 2) f (x)

Schritte zur Lösung

\frac{\partial}{\partial x} ((f (x)) (x - 2)^{2})

Wende die Produktregel an:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = f (x), g = (x - 2)^{2}

= \frac{\partial}{\partial x} (f (x)) (x - 2)^{2} + \frac{\partial}{\partial x} ((x - 2)^{2}) f (x)

\frac{\partial}{\partial x} ((x - 2)^{2}) = 2 (x - 2)

= \frac{\partial}{\partial x} (f (x)) (x - 2)^{2} + 2 (x - 2) f (x)

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