(\partial)/(\partial x)(ln(3x))

Lösung

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

\frac{1}{x}

Schritte zur Lösung

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

Wende die Kettenregel an:

\frac{1}{3 x} \frac{\partial}{\partial x} (3 x)

= \frac{1}{3 x} \frac{\partial}{\partial x} (3 x)

\frac{\partial}{\partial x} (3 x) = 3

= \frac{1}{3 x} \cdot 3

Vereinfache

\frac{1}{3 x} \cdot 3 : \frac{1}{x}

= \frac{1}{x}

x \to \infty lim (8 x^{2} e^{- x})

y^{^{''}} - y^{^{'}} + y = e^{2 t}

\frac{d}{d x} (x (cosh (\frac{200}{x}) - 1) - 100)

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

\frac{d}{d x} (\frac{6}{3 x ^{2} + 5})