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Beliebt Rechnen >

derivative of 3^x-1

Lösung

\frac{d}{d x} (3^{x} - 1)

Lösung

ln (3) \cdot 3^{x}

Schritte zur Lösung

\frac{d}{d x} (3^{x} - 1)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (3^{x}) - \frac{d}{d x} (1)

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

\frac{d}{d x} (1) = 0

= 3^{x} ln (3) - 0

Vereinfache

= ln (3) \cdot 3^{x}

Graph

Beliebte Beispiele

integral from 0 to 2 of r^3

\int_{0}^{2} r^{3} d r

integral from 0 to infinity of sin(7x)

\int_{0}^{\infty} sin (7 x) d x

integral of-3/2 x^2+3x^4-2

\int - \frac{3}{2} x^{2} + 3 x^{4} - 2 d x

derivative of 1/2 sec(x-1/3 csc(x))

\frac{d}{d x} (\frac{1}{2} sec (x) - \frac{1}{3} csc (x))

derivative of 14x

\frac{d}{d x} (14 x)