(\partial)/(\partial x)(4ycos(x))

解答

\frac{\partial}{\partial x} (4 y cos (x))

- 4 y sin (x)

求解步骤

\frac{\partial}{\partial x} (4 y cos (x))

将

y

视为常数

将常数提出:

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

= 4 y \frac{\partial}{\partial x} (cos (x))

使用常见微分定则:

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

= 4 y (- sin (x))

化简

= - 4 y sin (x)

\frac{d x}{d t} = sin (3 t) cos (3 t)

d er i v a t i v e x^{3} - 17 x^{2} + 63 x + 6

\frac{\partial}{\partial x} (x^{2} + y^{2} + 3 z)

\int (2 x) cos (x) d x

d er i v a t i v e 5 7 x