(\partial)/(\partial x)(3sin(xcos(y)))

解答

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

3 cos (x cos (y)) cos (y)

求解步骤

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

将

y

视为常数

将常数提出:

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

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

使用连锁律:

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

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

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

= 3 cos (x cos (y)) cos (y)

\int \frac{1}{1 - 2 x} d x

\frac{\partial}{\partial x} (x y (1 - x y))

\frac{\partial}{\partial y} (x e^{2 y})

\frac{d}{d t} (t e^{t^{3}})

\int_{3}^{6} (x^{2}) d x