derivative f(x)e^6+ln(4)

Lösung

ableitung von

f (x) e^{6} + ln (4)

e^{6} x

Schritte zur Lösung

\frac{d}{df} (f x e^{6} + ln (4))

Vereinfache

f x e^{6} + ln (4) : e^{6} f x + 2 ln (2)

= \frac{d}{df} (e^{6} f x + 2 ln (2))

Behandle

x

als Konstante

Wende die Summen-/Differenzregel an:

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

= \frac{d}{df} (e^{6} f x) + \frac{d}{df} (2 ln (2))

\frac{d}{df} (e^{6} f x) = e^{6} x

\frac{d}{df} (2 ln (2)) = 0

= e^{6} x + 0

Vereinfache

= e^{6} x

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