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Beliebt Rechnen >

derivative of sech(ln(x^2))

Lösung

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

Lösung

- \frac{2 sech ( 2 ln ( x ) ) tanh ( 2 ln ( x ) )}{x}

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

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

Vereinfache

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

= - \frac{2 sech ( 2 ln ( x ) ) tanh ( 2 ln ( x ) )}{x}

Graph

Beliebte Beispiele

integral from 0 to 1 of arctan(5x+3)

\int_{0}^{1} arctan (5 x + 3) d x

tangent f(x)=(2x)/(x+2),(2,1)

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

inverselaplace 1/(((s+1)^2+4))

in v erse l a pl a ce \frac{1}{( ( s + 1 ) ^{2} + 4 )}

integral of sin^5(tco)s^4t

\int sin^{5} (t co) s^{4} t d t

derivative of ,xe^y

\frac{d}{d x} (, x e^{y})