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Beliebt Rechnen >

derivative of tanh(ln(x))

Lösung

\frac{d}{d x} (tanh (ln (x)))

Lösung

\frac{sech ^{2} ( ln ( x ) )}{x}

Schritte zur Lösung

\frac{d}{d x} (tanh (ln (x)))

Wende die Kettenregel an:

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

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

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

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

Vereinfache

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

= \frac{sech ^{2} ( ln ( x ) )}{x}

Graph

Beliebte Beispiele

integral of 1/(sqrt(x^2-a))

\int \frac{1}{x ^{2} - a} d x

derivative of e^{9x^2}+x

\frac{d}{d x} (e^{9 x^{2}} + x)

inverselaplace (3se^{-s})/(2s^2+8)

in v erse l a pl a ce \frac{3 s e ^{- s}}{2 s ^{2} + 8}

limit as x approaches 2-of-2/(sqrt(2-x))

x \to 2 - lim (- \frac{2}{2 - x})

-2y^'+(4y)/x =x^4y^3

- 2 y^{^{'}} + \frac{4 y}{x} = x^{4} y^{3}