derivative y=6cos(x+y)

解答

导数

y = 6 cos (x + y)

- 6 sin (x + y)

求解步骤

\frac{d}{d x} (6 cos (x + y))

将

y

视为常数

将常数提出:

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

= 6 \frac{d}{d x} (cos (x + y))

使用连锁律:

- sin (x + y) \frac{d}{d x} (x + y)

= - sin (x + y) \frac{d}{d x} (x + y)

\frac{d}{d x} (x + y) = 1

= 6 (- sin (x + y) \cdot 1)

化简

= - 6 sin (x + y)

\int e^{8 x + 6} d x

y^{^{'}} = \frac{( cos ( 18 x ) )}{( e ^{(18 \cdot y)} )}

x^{2} y^{^{''}} + 3 x y^{^{'}} - 3 y = 0

d y - (y - 9)^{2} d x = 0

d er i v a t i v e x^{\frac{5}{6}}