(\partial)/(\partial x)(-y*cos(x))

解答

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

y sin (x)

求解步骤

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

将

y

视为常数

将常数提出:

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

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

使用常见微分定则:

\frac{\partial}{\partial x} (cos (x)) = - sin (x)

= - y (- sin (x))

化简

= y sin (x)

x y^{^{'}} = (1 - 4 x^{2}) tan (y)

\int_{2}^{\infty} y e^{- 9 y} d y

\frac{d ^{2}}{d x ^{2}} ((x^{3} + 2 x)^{6})

\int_{1}^{x} f (t) d t

x y (d x - d y) = x^{2} d y + y^{2} d x