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

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

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

expand

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

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

Solution steps

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

Expand

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

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

cos (θ) (tan (θ) - sec (θ))

(\times + 3) (x^{2} - 3 x + 9)

(y - x y^{2} + 2 y e^{x}) d x + (x - x^{2} y + 2 e^{x}) d y

(1 - i w)^{2}

a ln (\frac{am}{( a + b ) t}) + b ln (\frac{bm}{( a + b ) t})

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