derivative f(x)=3sin(x)+ln(5x)

Lösung

ableitung von

f (x) = 3 sin (x) + ln (5 x)

3 cos (x) + \frac{1}{x}

Schritte zur Lösung

\frac{d}{d x} (3 sin (x) + ln (5 x))

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (3 sin (x)) + \frac{d}{d x} (ln (5 x))

\frac{d}{d x} (3 sin (x)) = 3 cos (x)

\frac{d}{d x} (ln (5 x)) = \frac{1}{x}

= 3 cos (x) + \frac{1}{x}

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