derivative of 3^{x-inx}

Lösung

\frac{d}{d x} (3^{x - in x})

3^{x - in x} (ln (3) - i ln (3) n)

Schritte zur Lösung

\frac{d}{d x} (3^{x - in x})

Wende Exponentenregel an:

a^{b} = e^{b l n (a)}

3^{x - in x} = e^{(x - in x) l n (3)}

= \frac{d}{d x} (e^{(x - in x) l n (3)})

Wende die Kettenregel an:

e^{(x - in x) l n (3)} \frac{d}{d x} ((x - in x) ln (3))

= e^{(x - in x) l n (3)} \frac{d}{d x} ((x - in x) ln (3))

\frac{d}{d x} ((x - in x) ln (3)) = ln (3) - i ln (3) n

= e^{(x - in x) l n (3)} (ln (3) - i ln (3) n)

e^{(x - in x) l n (3)} = 3^{x - in x}

= 3^{x - in x} (ln (3) - i ln (3) n)

\int \frac{x ^{2}}{49 + x ^{2}} d x

x \to 0 lim (2 x)

d er i v a t i v e 1000 e^{- 0.02 p}

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