(\partial)/(\partial z)(x^2ycos(z/t))

解答

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

- \frac{x ^{2} y sin ( \frac{z}{t} )}{t}

求解步骤

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

将

x, y, t

视为常数

将常数提出:

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

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

使用连锁律:

- sin (\frac{z}{t}) \frac{\partial}{\partial z} (\frac{z}{t})

= - sin (\frac{z}{t}) \frac{\partial}{\partial z} (\frac{z}{t})

\frac{\partial}{\partial z} (\frac{z}{t}) = \frac{1}{t}

= x^{2} y (- sin (\frac{z}{t}) \frac{1}{t})

化简

x^{2} y (- sin (\frac{z}{t}) \frac{1}{t}) : - \frac{x ^{2} y sin ( \frac{z}{t} )}{t}

= - \frac{x ^{2} y sin ( \frac{z}{t} )}{t}

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

\frac{d}{d x} (x^{3} - 12 x + 1)

n = 1 \sum \infty (- 0.2)^{n}

l a pl a ce t r an s f or m 2 cos (2 t + \frac{π}{6})

l c m f (x) =, x at x