derivative of sech(ln(x^2))

解答

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

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

求解步骤

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

使用连锁律:

- 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}

化简

- 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}

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

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