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Beliebt Rechnen >

derivative of ln^2(5x)

Lösung

\frac{d}{d x} (ln^{2} (5 x))

Lösung

\frac{2 ln ( 5 x )}{x}

Schritte zur Lösung

\frac{d}{d x} (ln^{2} (5 x))

Wende die Kettenregel an:

2 ln (5 x) \frac{d}{d x} (ln (5 x))

= 2 ln (5 x) \frac{d}{d x} (ln (5 x))

\frac{d}{d x} (ln (5 x)) = \frac{1}{x}

= 2 ln (5 x) \frac{1}{x}

Vereinfache

2 ln (5 x) \frac{1}{x} : \frac{2 ln ( 5 x )}{x}

= \frac{2 ln ( 5 x )}{x}

Graph

Beliebte Beispiele

limit as (x,y) approaches (2,3) of x+y^2

(x, y) \to (2, 3) lim (x + y^{2})

tangent f(x)=2x^3+42x^2+270x+4

t an g e n t f (x) = 2 x^{3} + 42 x^{2} + 270 x + 4

integral of sin(x)sec^8(x)

\int sin (x) sec^{8} (x) d x

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

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\int \frac{1}{1 + 3 x} d x