What is expand (6x^6-x^2y)+(-x^3+x^2y^2)y'(x) ?

The solution to expand (6x^6-x^2y)+(-x^3+x^2y^2)y'(x) is 6x^6-x^2y-x^3y'(x)+x^2y'(x)y^2

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expand (6x^6-x^2y)+(-x^3+x^2y^2)y'(x)

expand

(6 x^{6} - x^{2} y) + (- x^{3} + x^{2} y^{2}) y^{'} (x)

6 x^{6} - x^{2} y - x^{3} y' (x) + x^{2} y' (x) y^{2}

Solution steps

(6 x^{6} - x^{2} y) + (- x^{3} + x^{2} y^{2}) y^{'} (x)

Expand

y^{'} (x) (- x^{3} + x^{2} y^{2}) : - x^{3} y^{'} (x) + x^{2} y^{'} (x) y^{2}

= (6 x^{6} - x^{2} y) - x^{3} y^{'} (x) + x^{2} y^{'} (x) y^{2}

Remove parentheses:

(a) = a

= 6 x^{6} - x^{2} y - x^{3} y^{^{'}} (x) + x^{2} y^{^{'}} (x) y^{2}

e^{5 x} (5 x e^{5 x} + e^{5 x})

(sin (x) + c)^{2}

(1 + cos (4 w))^{2} + (sin (4 w))^{2}

(- 10, - 4, 2) x (5, 2, 0)

(- a b^{0}) \times (480 - 0.24)

What is expand (6x^6-x^2y)+(-x^3+x^2y^2)y'(x) ?
The solution to expand (6x^6-x^2y)+(-x^3+x^2y^2)y'(x) is 6x^6-x^2y-x^3y'(x)+x^2y'(x)y^2