展开 (5(x+y)ln(x))(dx)/(dy)

解答

展开

(5 (x + y) ln (x)) \frac{d x}{d y}

5 x ln (x) \frac{d x}{d y} + 5 y ln (x) \frac{d x}{d y}

求解步骤

(5 (x + y) ln (x)) \frac{d x}{d y}

去除括号:

(a) = a

= 5 (x + y) ln (x) \frac{d x}{d y}

= 5 ln (x) (x + y) \frac{d x}{d y}

使用分配律:

a (b + c) = ab + a c

a = 5 ln (x) \frac{d x}{d y}, b = x, c = y

= 5 ln (x) \frac{d x}{d y} x + 5 ln (x) \frac{d x}{d y} y

= 5 x ln (x) \frac{d x}{d y} + 5 y ln (x) \frac{d x}{d y}

e x p an d \frac{100 x ^{2}}{( x ^{2} - 25 ) ^{2}}

s im pl i f y (x - x + 3)^{2}

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

\frac{d}{d θ} ((x (θ)) (r (θ) \cdot θ - r (θ) sin (θ)))

e x p an d \frac{- e ^{- s} s - e ^{- s} + 1}{s ^{2} ( 1 - e ^{- s} )}