derivative of arccsc(-x^2)

解答

\frac{d}{d x} (arccsc (- x^{2}))

\frac{2}{x x ^{4} - 1}

求解步骤

\frac{d}{d x} (arccsc (- x^{2}))

使用连锁律:

- \frac{1}{( - x ^{2} ) ^{2} ( - x ^{2} ) ^{2} - 1} \frac{d}{d x} (- x^{2})

= - \frac{1}{( - x ^{2} ) ^{2} ( - x ^{2} ) ^{2} - 1} \frac{d}{d x} (- x^{2})

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

= - \frac{1}{( - x ^{2} ) ^{2} ( - x ^{2} ) ^{2} - 1} (- 2 x)

化简

- \frac{1}{( - x ^{2} ) ^{2} ( - x ^{2} ) ^{2} - 1} (- 2 x) : \frac{2}{x x ^{4} - 1}

= \frac{2}{x x ^{4} - 1}

\int \frac{tan ^{2} ( x )}{2 sec ( x )} d x

\int_{0}^{π} 4 x cos (x) d x

\frac{d}{d x} (\frac{1}{in ( x - 1 )})

\int_{0}^{1} \frac{53}{x ^{5}} d x

\frac{\partial}{\partial x} (- \frac{x}{y})