What is expand (3xy^3+4y)dx+(3x^2y^2+2x)dy ?

The solution to expand (3xy^3+4y)dx+(3x^2y^2+2x)dy is 3xy^3dx+4ydx+3x^2y^2dy+2xdy

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expand (3xy^3+4y)dx+(3x^2y^2+2x)dy

expand

(3 x y^{3} + 4 y) d x + (3 x^{2} y^{2} + 2 x) d y

3 x y^{3} d x + 4 y d x + 3 x^{2} y^{2} d y + 2 x d y

Solution steps

(3 x y^{3} + 4 y) d x + (3 x^{2} y^{2} + 2 x) d y

Expand

d x (3 x y^{3} + 4 y) : 3 x y^{3} d x + 4 y d x

= 3 x y^{3} d x + 4 y d x + (3 x^{2} y^{2} + 2 x) d y

Expand

d y (3 x^{2} y^{2} + 2 x) : 3 x^{2} y^{2} d y + 2 x d y

= 3 x y^{3} d x + 4 y d x + 3 x^{2} y^{2} d y + 2 x d y

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

\frac{( 16 - x ) ^{2}}{4}

(x - Δ x)^{3}

(x^{2} - \frac{2}{x})^{4}

(2 A x + B) e^{x} + e^{x} (A x^{2} + B x)

What is expand (3xy^3+4y)dx+(3x^2y^2+2x)dy ?
The solution to expand (3xy^3+4y)dx+(3x^2y^2+2x)dy is 3xy^3dx+4ydx+3x^2y^2dy+2xdy