derivative sin(xy)+pi

解答

导数

sin (x y) + π

y cos (x y)

求解步骤

\frac{d}{d x} (sin (x y) + π)

将

y

视为常数

使用微分加减法定则:

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

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

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

\frac{d π}{d x} = 0

= cos (x y) y + 0

化简

= y cos (x y)

\frac{d y}{d x} = \frac{x}{y 1 + x}

\int 3 cos (x) d x

\int \frac{4 x}{x ^{2} + 1} d x

l a pl a ce t r an s f or m (sin (t))^{2}

\int 2 t \cdot (- cos (2 t)) d t