(\partial)/(\partial x)(x^2cos(4y))

解答

\frac{\partial}{\partial x} (x^{2} cos (4 y))

2 x cos (4 y)

求解步骤

\frac{\partial}{\partial x} (x^{2} cos (4 y))

将

y

视为常数

将常数提出:

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

= cos (4 y) \frac{\partial}{\partial x} (x^{2})

使用幂法则:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= cos (4 y) \cdot 2 x^{2 - 1}

化简

= 2 x cos (4 y)

\frac{d}{d x} (sin (5 x) + sin^{2} (5 x))

\int csc^{2} (θ) + 3 d θ

\int 4 - 9 x d x

\int_{- \infty}^{1} \frac{1}{x ^{2} + 1} d x

\int 2 x (x^{2} - 1)^{97} d x