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Beliebt Rechnen >

derivative of (ln(2x)^4)

Lösung

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

Lösung

\frac{4 ln ^{3} ( 2 x )}{x}

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

= 4 (ln (2 x))^{3} \frac{1}{x}

Vereinfache

4 ln^{3} (2 x) \frac{1}{x} : \frac{4 ln ^{3} ( 2 x )}{x}

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

Graph

Beliebte Beispiele

integral from 4 to 9 of 6sqrt(x)

\int_{4}^{9} 6 x d x

implicit x^5+x^2y^3=0

im pl i c i t x^{5} + x^{2} y^{3} = 0

y^'=(3x^2-e^x)/(2y-5)

y^{^{'}} = \frac{3 x ^{2} - e ^{x}}{2 y - 5}

(\partial)/(\partial x)(sqrt(x^2+y^2+1))

\frac{\partial}{\partial x} (x^{2} + y^{2} + 1)

derivative y=4ln(cos(x))

d er i v a t i v e y = 4 ln (cos (x))