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Beliebt Rechnen >

derivative ln(x^2+6)

Lösung

ableitung von

ln (x^{2} + 6)

Lösung

\frac{2 x}{x ^{2} + 6}

Schritte zur Lösung

\frac{d}{d x} (ln (x^{2} + 6))

Wende die Kettenregel an:

\frac{1}{x ^{2} + 6} \frac{d}{d x} (x^{2} + 6)

= \frac{1}{x ^{2} + 6} \frac{d}{d x} (x^{2} + 6)

\frac{d}{d x} (x^{2} + 6) = 2 x

= \frac{1}{x ^{2} + 6} \cdot 2 x

Vereinfache

\frac{1}{x ^{2} + 6} \cdot 2 x : \frac{2 x}{x ^{2} + 6}

= \frac{2 x}{x ^{2} + 6}

Graph

Beliebte Beispiele

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

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

integral of (4z+1)^2

\int (4 z + 1)^{2} d z

derivative of xnx

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

(\partial)/(\partial x)(4^x)

\frac{\partial}{\partial x} (4^{x})

limit as x approaches-2 of sqrt(4-x^2)

x \to - 2 lim (4 - x^{2})