derivative of 1/(sin(x^2))

解答

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

- cot (x^{2}) csc (x^{2}) \cdot 2 x

求解步骤

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

化简

\frac{1}{sin ( x ^{2} )} : csc (x^{2})

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

使用连锁律:

- cot (x^{2}) csc (x^{2}) \frac{d}{d x} (x^{2})

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

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

= - cot (x^{2}) csc (x^{2}) \cdot 2 x

\int e^{4 x} cos (3 x) d x

\frac{\partial}{\partial x} (y + e^{x})

\int_{0}^{1} \frac{2 x}{1 + x ^{4}} d x

t an g e n t f (x) = \frac{- 4 x}{x ^{2} + 1}, at x = 0

x \to 3 lim (\frac{x ^{2} - 6}{x - 3})