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Beliebt Rechnen >

derivative of ln(sinh(x))

Lösung

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

Lösung

coth (x)

Schritte zur Lösung

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

Wende die Kettenregel an:

\frac{1}{sinh ( x )} \frac{d}{d x} (sinh (x))

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

\frac{d}{d x} (sinh (x)) = cosh (x)

= \frac{1}{sinh ( x )} cosh (x)

Vereinfache

\frac{1}{sinh ( x )} cosh (x) : coth (x)

= coth (x)

Graph

Beliebte Beispiele

maclaurin (1-x)^{-1/2}

ma c l a u r in (1 - x)^{- \frac{1}{2}}

f (x) = x^{2} e^{2 x}

(cos (2 x))^{^{'}}

derivative of 2*x

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

integral of (a^2-x^{2/3})

\int (a^{2} - x^{\frac{2}{3}}) d x