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Beliebt Rechnen >

derivative f(x)=3x-ln(x^4)

Lösung

ableitung von

f (x) = 3 x - ln (x^{4})

Lösung

3 - \frac{4}{x}

Schritte zur Lösung

\frac{d}{d x} (3 x - ln (x^{4}))

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (3 x) - \frac{d}{d x} (ln (x^{4}))

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

\frac{d}{d x} (ln (x^{4})) = \frac{4}{x}

= 3 - \frac{4}{x}

Graph

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