What is expand (6xy^3+cos(y))dx+(3kx^2y^2-3y^2)dy ?

The solution to expand (6xy^3+cos(y))dx+(3kx^2y^2-3y^2)dy is 6xy^3dx+cos(y)dx+3kx^2y^2dy-3y^2dy

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expand (6xy^3+cos(y))dx+(3kx^2y^2-3y^2)dy

expand

(6 x y^{3} + cos (y)) d x + (3 k x^{2} y^{2} - 3 y^{2}) d y

6 x y^{3} d x + cos (y) d x + 3 k x^{2} y^{2} d y - 3 y^{2} d y

Solution steps

(6 x y^{3} + cos (y)) d x + (3 k x^{2} y^{2} - 3 y^{2}) d y

Expand

d x (6 x y^{3} + cos (y)) : 6 x y^{3} d x + cos (y) d x

= 6 x y^{3} d x + cos (y) d x + (3 k x^{2} y^{2} - 3 y^{2}) d y

Expand

d y (3 k x^{2} y^{2} - 3 y^{2}) : 3 k x^{2} y^{2} d y - 3 y^{2} d y

= 6 x y^{3} d x + cos (y) d x + 3 k x^{2} y^{2} d y - 3 y^{2} d y

f (15 x^{4} - 33 x^{2} + 4) d x

\frac{s + 6}{( s - 1 ) ( s - 2 ) ^{2}}

\frac{( 2 x + 1 ) ( x - 9 )}{x + 7}

- \frac{2 ( 3 x + 1 )}{x ^{3} ( x + 1 ) ^{5}}

4 (\frac{w + 3}{2})^{2}

What is expand (6xy^3+cos(y))dx+(3kx^2y^2-3y^2)dy ?
The solution to expand (6xy^3+cos(y))dx+(3kx^2y^2-3y^2)dy is 6xy^3dx+cos(y)dx+3kx^2y^2dy-3y^2dy