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Beliebt Rechnen >

derivative of ln(x^2)

Lösung

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

Lösung

\frac{2}{x}

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

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

Vereinfache

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

= \frac{2}{x}

Graph

Beliebte Beispiele

(dy)/(dx)=e^{6y}e^{6x}

\frac{d y}{d x} = e^{6 y} e^{6 x}

(dy)/(dx)=y(y^5x+2)

\frac{d y}{d x} = y (y^{5} x + 2)

sqrt(1-4x^2)y^'=x

1 - 4 x^{2} y^{^{'}} = x

limit as x approaches 0 of x^{11x}

x \to 0 lim (x^{11 x})

(dP)/(dt)=(9/240)P-1/4800 (P)^2

\frac{d P}{d t} = (\frac{9}{240}) P - \frac{1}{4800} (P)^{2}