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Beliebt Rechnen >

derivative x^2ln(7x)

Lösung

ableitung von

x^{2} ln (7 x)

Lösung

2 x ln (7 x) + x

Schritte zur Lösung

\frac{d}{d x} (x^{2} ln (7 x))

Wende die Produktregel an:

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

f = x^{2}, g = ln (7 x)

= \frac{d}{d x} (x^{2}) ln (7 x) + \frac{d}{d x} (ln (7 x)) x^{2}

\frac{d}{d x} (x^{2}) = 2 x

\frac{d}{d x} (ln (7 x)) = \frac{1}{x}

= 2 x ln (7 x) + \frac{1}{x} x^{2}

\frac{1}{x} x^{2} = x

= 2 x ln (7 x) + x

Graph

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