(\partial)/(\partial x)(xarctan(y+z))

解答

\frac{\partial}{\partial x} (x arctan (y + z))

arctan (y + z)

求解步骤

\frac{\partial}{\partial x} (x arctan (y + z))

将

y, z

视为常数

将常数提出:

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

= arctan (y + z) \frac{\partial}{\partial x} (x)

使用常见微分定则:

\frac{\partial}{\partial x} (x) = 1

= arctan (y + z) \cdot 1

化简

= arctan (y + z)

t an g e n t f (x) = \frac{x}{- 6 x + 6}, at x = 2

\frac{d}{d x} (\frac{x ^{2} - 3 x + 1}{x})

x \to 5 lim (\frac{1}{( x - 5 ) ^{2}})

\int \frac{x ^{2}}{2 1 - x ^{2}} d x

\frac{d}{d x} (\frac{x}{2 π})