What is expand dx(4y-y^3x^4)+dy(2x-2x^5y^2) ?

The solution to expand dx(4y-y^3x^4)+dy(2x-2x^5y^2) is 4ydx-x^4y^3dx+2xdy-2x^5y^2dy

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expand dx(4y-y^3x^4)+dy(2x-2x^5y^2)

expand

d x (4 y - y^{3} x^{4}) + d y (2 x - 2 x^{5} y^{2})

4 y d x - x^{4} y^{3} d x + 2 x d y - 2 x^{5} y^{2} d y

Solution steps

d x (4 y - y^{3} x^{4}) + d y (2 x - 2 x^{5} y^{2})

= d x (4 y - x^{4} y^{3}) + d y (2 x - 2 x^{5} y^{2})

Expand

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

= 4 y d x - x^{4} y^{3} d x + d y (2 x - 2 x^{5} y^{2})

Expand

d y (2 x - 2 x^{5} y^{2}) : 2 x d y - 2 x^{5} y^{2} d y

= 4 y d x - x^{4} y^{3} d x + 2 x d y - 2 x^{5} y^{2} d y

\frac{d}{d θ} ((x (θ)) (1 + cos (θ)) cos (θ))

\frac{100}{( 1 + r ) ^{5}}

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

(2 x - 1) e^{3}

(- 7, - 8) y (0, 4)

What is expand dx(4y-y^3x^4)+dy(2x-2x^5y^2) ?
The solution to expand dx(4y-y^3x^4)+dy(2x-2x^5y^2) is 4ydx-x^4y^3dx+2xdy-2x^5y^2dy