(\partial)/(\partial x)(sin(3x)cos(2y))

解答

\frac{\partial}{\partial x} (sin (3 x) cos (2 y))

cos (2 y) cos (3 x) \cdot 3

求解步骤

\frac{\partial}{\partial x} (sin (3 x) cos (2 y))

将

y

视为常数

将常数提出:

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

= cos (2 y) \frac{\partial}{\partial x} (sin (3 x))

使用连锁律:

cos (3 x) \frac{\partial}{\partial x} (3 x)

= cos (3 x) \frac{\partial}{\partial x} (3 x)

\frac{\partial}{\partial x} (3 x) = 3

= cos (2 y) cos (3 x) \cdot 3

\int (sin (x))^{\frac{1}{3}} cos (x) d x

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d er i v a t i v e x^{2} + (\frac{1}{2} x - 5)^{2}

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