d/(dy)(sin(y)-ysin(x))

解答

\frac{d}{d y} (sin (y) - y sin (x))

cos (y) - sin (x)

求解步骤

\frac{d}{d y} (sin (y) - y sin (x))

将

x

视为常数

使用微分加减法定则:

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

= \frac{d}{d y} (sin (y)) - \frac{d}{d y} (y sin (x))

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

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

= cos (y) - sin (x)

d er i v a t i v e - 4 (x - 4)^{3}

\int cos (3 x) sin^{3} (3 x) d x

\int 8 x + 2 d x

n = 1 \sum \infty n^{7} (1 + n^{8})^{2}

\frac{d}{d x} (\frac{tan ( x )}{1 + tan ( x )})