(\partial)/(\partial y)(2x-3yz)

解答

\frac{\partial}{\partial y} (2 x - 3 yz)

- 3 z

求解步骤

\frac{\partial}{\partial y} (2 x - 3 yz)

将

x, z

视为常数

使用微分加减法定则:

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

= \frac{\partial}{\partial y} (2 x) - \frac{\partial}{\partial y} (3 yz)

\frac{\partial}{\partial y} (2 x) = 0

\frac{\partial}{\partial y} (3 yz) = 3 z

= 0 - 3 z

化简

= - 3 z

\frac{d}{d r} (\frac{200 r ( r + 2 )}{( 2 + 3 r ) ^{2}})

t an g e n t y = 9 - 10 x, at x = - 1

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

\frac{\partial}{\partial y} (e^{s i n (x + y)})

t an g e n t f (x) = 1 + 4 csc (x), at x = - \frac{π}{3}