derivative of (ln(3x)^2)

Lösung

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

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

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

\frac{d}{d x} (ln (3 x)) = \frac{1}{x}

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

Vereinfache

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

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

d er i v a t i v e f (x) = \frac{2 x + x ^{2}}{( 1 + x ) ^{2}}

\frac{\partial}{\partial x} (\frac{Y ( x )}{x})

x y^{^{'}} - 4 y = 6 x^{4} e^{x}

t an g e n t f (x) = \frac{- 4 x}{x ^{2} + 1}, at x = - 1

\int_{0}^{1} \frac{2}{x ^{2} + 1} d x