What is expand (5(x+y)ln(x))(dx)/(dy) ?

The solution to expand (5(x+y)ln(x))(dx)/(dy) is 5xln(x)(dx)/(dy)+5yln(x)(dx)/(dy)

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expand (5(x+y)ln(x))(dx)/(dy)

expand

(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}

Solution steps

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

Remove parentheses:

(a) = a

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

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

Apply the distributive law:

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}

\frac{100 x ^{2}}{( x ^{2} - 25 ) ^{2}}

(x - x + 3)^{2}

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

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

\frac{- e ^{- s} s - e ^{- s} + 1}{s ^{2} ( 1 - e ^{- s} )}

What is expand (5(x+y)ln(x))(dx)/(dy) ?
The solution to expand (5(x+y)ln(x))(dx)/(dy) is 5xln(x)(dx)/(dy)+5yln(x)(dx)/(dy)