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Beliebt Rechnen >

derivative of ln((x-4^3))

Lösung

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

Lösung

\frac{3}{x - 4}

Schritte zur Lösung

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

Wende die Kettenregel an:

\frac{1}{( x - 4 ) ^{3}} \frac{d}{d x} ((x - 4)^{3})

= \frac{1}{( x - 4 ) ^{3}} \frac{d}{d x} ((x - 4)^{3})

\frac{d}{d x} ((x - 4)^{3}) = 3 (x - 4)^{2}

= \frac{1}{( x - 4 ) ^{3}} \cdot 3 (x - 4)^{2}

Vereinfache

\frac{1}{( x - 4 ) ^{3}} \cdot 3 (x - 4)^{2} : \frac{3}{x - 4}

= \frac{3}{x - 4}

Graph

Beliebte Beispiele

integral of x*sqrt(x^2+5)

\int x \cdot x^{2} + 5 d x

t a y l or ln (4 - x)

(\partial)/(\partial z)(ln(1+x^2+e^y+z))

\frac{\partial}{\partial z} (ln (1 + x^{2} + e^{y} + z))

limit as x approaches 0 of 1/(1-e^{-x)}

x \to 0 lim (\frac{1}{1 - e ^{- x}})

inverselaplace s+3

in v erse l a pl a ce s + 3