derivative sin(x)+7/3 cot(x)

解答

导数

sin (x) + \frac{7}{3} cot (x)

cos (x) - \frac{7}{3} csc^{2} (x)

求解步骤

\frac{d}{d x} (sin (x) + \frac{7}{3} cot (x))

使用微分加减法定则:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (sin (x)) + \frac{d}{d x} (\frac{7}{3} cot (x))

\frac{d}{d x} (sin (x)) = cos (x)

\frac{d}{d x} (\frac{7}{3} cot (x)) = - \frac{7}{3} csc^{2} (x)

= cos (x) - \frac{7}{3} csc^{2} (x)

\int_{1}^{2} \frac{1}{3 - z} d z

\int (\frac{x ^{7} - 4 x ^{5} + 11}{x ^{5}}) d x

\frac{\partial}{\partial x} (e^{x} y x + y e^{x} + y^{2} e x^{x})

x \to 1 lim ((1 - 2 x)^{\frac{1}{x}})

d er i v a t i v e f (x) = \frac{t ^{3} + 3 t}{t ^{3 - 4 t + 3}}