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Popular >

expand y'(x)3x^2+3y^2(y'(x))-5.4(y+x(y'(x)))

Solution

expand

y^{'} (x) 3 x^{2} + 3 y^{2} (y^{'} (x)) - 5.4 (y + x (y^{'} (x)))

Solution

y' (x) 3 x^{2} + 3 y^{2} y' (x) - 5.4 y - 5.4 x y' (x)

Solution steps

y^{'} (x) 3 x^{2} + 3 y^{2} (y^{'} (x)) - 5.4 (y + x (y^{'} (x)))

= 3 x^{2} y^{^{'}} (x) + 3 y^{2} (y^{^{'}} (x)) - 5.4 (y + x (y^{^{'}} (x)))

Expand

- 5.4 (y + x (y^{'} (x))) : - 5.4 y - 5.4 x y^{'} (x)

= y^{'} (x) 3 x^{2} + 3 y^{2} (y^{'} (x)) - 5.4 y - 5.4 x y^{'} (x)

Remove parentheses:

(a) = a

= y^{^{'}} (x) 3 x^{2} + 3 y^{2} y^{^{'}} (x) - 5.4 y - 5.4 x y^{^{'}} (x)

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Frequently Asked Questions (FAQ)

What is expand y'(x)3x^2+3y^2(y'(x))-5.4(y+x(y'(x))) ?
The solution to expand y'(x)3x^2+3y^2(y'(x))-5.4(y+x(y'(x))) is y'(x)3x^2+3y^2y'(x)-5.4y-5.4xy'(x)