derivative of cot(2x^4-3x^2-4)

解答

\frac{d}{d x} (cot (2 x^{4} - 3 x^{2} - 4))

- csc^{2} (2 x^{4} - 3 x^{2} - 4) (8 x^{3} - 6 x)

求解步骤

\frac{d}{d x} (cot (2 x^{4} - 3 x^{2} - 4))

使用连锁律:

- csc^{2} (2 x^{4} - 3 x^{2} - 4) \frac{d}{d x} (2 x^{4} - 3 x^{2} - 4)

= - csc^{2} (2 x^{4} - 3 x^{2} - 4) \frac{d}{d x} (2 x^{4} - 3 x^{2} - 4)

\frac{d}{d x} (2 x^{4} - 3 x^{2} - 4) = 8 x^{3} - 6 x

= - csc^{2} (2 x^{4} - 3 x^{2} - 4) (8 x^{3} - 6 x)

\int 2 tan (x) sec^{4} (x) d x

d er i v a t i v e 8 x e^{x}

\int \frac{x}{x - 7} d x

d er i v a t i v e x^{3} - 3 x + 1

\frac{\partial}{\partial x} (ln (cos (x)))