What is expand 3x^2+6xy+(3x^2+2y)(dy)/(dx) ?

The solution to expand 3x^2+6xy+(3x^2+2y)(dy)/(dx) is 3x^2+6xy+3x^2(dy)/(dx)+2y(dy)/(dx)

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expand 3x^2+6xy+(3x^2+2y)(dy)/(dx)

expand

3 x^{2} + 6 x y + (3 x^{2} + 2 y) \frac{d y}{d x}

3 x^{2} + 6 x y + 3 x^{2} \frac{d y}{d x} + 2 y \frac{d y}{d x}

Solution steps

3 x^{2} + 6 x y + (3 x^{2} + 2 y) \frac{d y}{d x}

Expand

\frac{d y}{d x} (3 x^{2} + 2 y) : 3 x^{2} \frac{d y}{d x} + 2 y \frac{d y}{d x}

= 3 x^{2} + 6 x y + 3 x^{2} \frac{d y}{d x} + 2 y \frac{d y}{d x}

3^{2}

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

- 4 (3 e + 4)

(2 + \frac{4 i}{n})^{2}

(x^{2} + y^{2}) (x^{2} + y^{2})

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