d/(d{y)}(({f}(y,x))(3{x}+2{y}))

解答

\frac{d}{d y} ((f (y, x)) (3 x + 2 y))

f (y, x) (0 + 2)

求解步骤

\frac{d}{d y} ((f (y, x)) (3 x + 2 y))

将常数提出:

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

= f (y, x) \frac{d}{d y} (3 x + 2 y)

使用微分加减法定则:

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

= f (y, x) (\frac{d}{d y} (3 x) + \frac{d}{d y} (2 y))

\frac{d}{d y} (3 x) = 0

\frac{d}{d y} (2 y) = 2

= f (y, x) (0 + 2)

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