derivative of 6xln(x+5x)

Lösung

\frac{d}{d x} (6 x ln (x) + 5 x)

6 ln (x) + 11

Schritte zur Lösung

\frac{d}{d x} (6 x ln (x) + 5 x)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (6 x ln (x)) + \frac{d}{d x} (5 x)

\frac{d}{d x} (6 x ln (x)) = 6 (ln (x) + 1)

\frac{d}{d x} (5 x) = 5

= 6 (ln (x) + 1) + 5

Vereinfache

6 (ln (x) + 1) + 5 : 6 ln (x) + 11

= 6 ln (x) + 11

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