(\partial)/(\partial y)(sin(x)cos(y))

解答

\frac{\partial}{\partial y} (sin (x) cos (y))

- sin (x) sin (y)

求解步骤

\frac{\partial}{\partial y} (sin (x) cos (y))

将

x

视为常数

将常数提出:

(a \cdot f)^{'} = a \cdot f^{'}

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

使用常见微分定则:

\frac{\partial}{\partial y} (cos (y)) = - sin (y)

= sin (x) (- sin (y))

化简

= - sin (x) sin (y)

\frac{d}{d x} (\frac{3}{x ^{2} + 2})

\frac{d}{d x} (x - 2 y + 2 z)

\int \frac{3}{1 + x ^{2}} d x

in v erse l a pl a ce \frac{1}{( s - 1 ) ^{2} + 1}

t an g e n t f (x) = csc (x), at x = \frac{π}{6}