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Beliebt Rechnen >

derivative of ln(4x^2)

Lösung

\frac{d}{d x} (ln (4 x^{2}))

Lösung

\frac{2}{x}

Schritte zur Lösung

\frac{d}{d x} (ln (4 x^{2}))

Wende die Kettenregel an:

\frac{1}{4 x ^{2}} \frac{d}{d x} (4 x^{2})

= \frac{1}{4 x ^{2}} \frac{d}{d x} (4 x^{2})

\frac{d}{d x} (4 x^{2}) = 8 x

= \frac{1}{4 x ^{2}} \cdot 8 x

Vereinfache

\frac{1}{4 x ^{2}} \cdot 8 x : \frac{2}{x}

= \frac{2}{x}

Graph

Beliebte Beispiele

fläche sin^2(x),sin^4(x),0,pi

a re a sin^{2} (x), sin^{4} (x), 0, π

derivative of (sqrt(2)^x)

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

integral of cos(9x)sin(5x)

\int cos (9 x) sin (5 x) d x

y^3-(18x+6)+3xy^2(dy)/(dx)=0

y^{3} - (18 x + 6) + 3 x y^{2} \frac{d y}{d x} = 0

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

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