derivative sin(x)+7/4 cot(x)

解答

导数

sin (x) + \frac{7}{4} cot (x)

cos (x) - \frac{7}{4} csc^{2} (x)

求解步骤

\frac{d}{d x} (sin (x) + \frac{7}{4} 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}{4} cot (x))

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

\frac{d}{d x} (\frac{7}{4} cot (x)) = - \frac{7}{4} csc^{2} (x)

= cos (x) - \frac{7}{4} csc^{2} (x)

\frac{x ^{2}}{x + 7}

\frac{1}{s ^{3} + s ^{4}}

\frac{d}{d x} (5 x tan (x))

y^{^{'}} = t + t y^{2}, y (2) = 0

\frac{d}{d x} (\frac{12}{x ^{3}})