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

解答

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

- sin (x) - cos (y)

求解步骤

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

将

y

视为常数

使用微分加减法定则:

(f \pm g)^{'} = f^{'} \pm g^{'}

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

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

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

\frac{\partial}{\partial x} (y) = 0

= - sin (x) - cos (y) - 0

化简

= - sin (x) - cos (y)

x \to - 2 - lim (2 - x)

x \to 0 lim (\frac{7}{x} - (\frac{3}{x})^{2})

\frac{d}{d x} ((x + a) e^{2} x + b)

\int x^{2} 2 + x^{3} d x

d er i v a t i v e f (x) = \frac{10}{x ^{7}}