(\partial)/(\partial z)(-3xysin(z))

解答

\frac{\partial}{\partial z} (- 3 x y sin (z))

- 3 x y cos (z)

求解步骤

\frac{\partial}{\partial z} (- 3 x y sin (z))

将

x, y

视为常数

将常数提出:

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

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

使用常见微分定则:

\frac{\partial}{\partial z} (sin (z)) = cos (z)

= - 3 x y cos (z)

d er i v a t i v e f (x) = x^{2} + 5 x

x \to \infty lim (\frac{e ^{\frac{2}{x}} sin ( π x )}{x + 2} + x)

\frac{d}{d x} (6 x^{- 5})

x \to \infty + lim (x^{4})

\int (7 + x + x^{2}) d x