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Beliebt Rechnen >

derivative of ln(x^3+4)

Lösung

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

Lösung

\frac{3 x ^{2}}{x ^{3} + 4}

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

= \frac{1}{x ^{3} + 4} \cdot 3 x^{2}

Vereinfache

\frac{1}{x ^{3} + 4} \cdot 3 x^{2} : \frac{3 x ^{2}}{x ^{3} + 4}

= \frac{3 x ^{2}}{x ^{3} + 4}

Graph

Beliebte Beispiele

y^{^{'}} = 2 cos (5 x)

y^{''}+3y^'+2y=x^2

y^{^{''}} + 3 y^{^{'}} + 2 y = x^{2}

derivative of (-2/(xsqrt(x)))

\frac{d}{d x} (\frac{- 2}{x x})

derivative of (3x^{1/2})

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

derivative of 14e^{2x}

\frac{d}{d x} (14 e^{2 x})