(\partial)/(\partial y)(x+ycos(x))

解答

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

cos (x)

求解步骤

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

将

x

视为常数

使用微分加减法定则:

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

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

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

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

= 0 + cos (x)

化简

= cos (x)

x \to 0 lim (cos (0))

\int \frac{x ^{2} + 1}{e ^{x}} d x

\frac{d x}{d t} + 4 t x^{3} + \frac{x}{t} = 0

f (x) = \frac{1 - sec ( x )}{tan ( x )}

d er i v a t i v e f (x) = 7 + \frac{2}{x} + \frac{5}{x ^{2}}