(\partial)/(\partial x)(x*sin(y))

解答

\frac{\partial}{\partial x} (x \cdot sin (y))

sin (y)

求解步骤

\frac{\partial}{\partial x} (x sin (y))

将

y

视为常数

将常数提出:

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

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

使用常见微分定则:

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

= sin (y) \cdot 1

化简

= sin (y)

\frac{\partial}{\partial x} (y - y x^{2})

d er i v a t i v e f (x) = \frac{14 x + 4 x ^{2}}{( 7 + 4 x ) ^{2}}

\frac{\partial}{\partial x} (- 2 k l (ln (\frac{y}{- x - y})))

\int \frac{1}{6 - x} d x

d er i v a t i v e g (x) = 2 x - 3