What is expand (e^{x+y}+ye^y)dx ?

The solution to expand (e^{x+y}+ye^y)dx is e^{x+y}dx+e^yydx

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expand (e^{x+y}+ye^y)dx

expand

(e^{x + y} + y e^{y}) d x

e^{x + y} d x + e^{y} y d x

Solution steps

(e^{x + y} + y e^{y}) d x

= (e^{x + y} + e^{y} y) d x

Apply the distributive law:

a (b + c) = ab + a c

a = d x, b = e^{x + y}, c = y e^{y}

= d x e^{x + y} + d x y e^{y}

= e^{x + y} d x + e^{y} y d x

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

5 a + \frac{5}{4} - 3 - 7 \frac{a}{6}

\frac{3 ( x + 5 )}{x + 4}

\frac{25}{s ( s + 5 )}

\frac{- ( X - 10 ) ^{3}}{375000}

What is expand (e^{x+y}+ye^y)dx ?
The solution to expand (e^{x+y}+ye^y)dx is e^{x+y}dx+e^yydx