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Beliebt Rechnen >

derivative of ln(x/7)

Lösung

\frac{d}{d x} (ln (\frac{x}{7}))

Lösung

\frac{1}{x}

Schritte zur Lösung

\frac{d}{d x} (ln (\frac{x}{7}))

Wende die Kettenregel an:

\frac{1}{\frac{x}{7}} \frac{d}{d x} (\frac{x}{7})

= \frac{1}{\frac{x}{7}} \frac{d}{d x} (\frac{x}{7})

\frac{d}{d x} (\frac{x}{7}) = \frac{1}{7}

= \frac{1}{\frac{x}{7}} \cdot \frac{1}{7}

Vereinfache

\frac{1}{\frac{x}{7}} \cdot \frac{1}{7} : \frac{1}{x}

= \frac{1}{x}

Graph

Beliebte Beispiele

y^{''}+5y^'+6=1

y^{^{''}} + 5 y^{^{'}} + 6 = 1

laplacetransform 3e^{-4t}

l a pl a ce t r an s f or m 3 e^{- 4 t}

derivative (4x+3)(2x^2+7x-1)

d er i v a t i v e (4 x + 3) (2 x^{2} + 7 x - 1)

integral of x^2-21

\int x^{2} - 21 d x

integral of (x+3)/(x(2x-1)^2(x+1)^2)

\int \frac{x + 3}{x ( 2 x - 1 ) ^{2} ( x + 1 ) ^{2}} d x