Expand the expression (d^2y)/(dx^2)(x^3+3x^2y-6xy^22y^3)

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 Exercise

$\frac{d^2y}{dx^2}\left(x^3+3x^2y-6xy^2+2y^3\right)$

 Step-by-step Solution

 

Multiply the single term $\frac{d^2y}{dx^2}$ by each term of the polynomial $\left(x^3+3x^2y-6xy^2+2y^3\right)$

$x^3\frac{d^2y}{dx^2}+3x^2y\left(\frac{d^2y}{dx^2}\right)-6xy^2\left(\frac{d^2y}{dx^2}\right)+2y^3\left(\frac{d^2y}{dx^2}\right)$

Final answer to the exercise  

$x^3\frac{d^2y}{dx^2}+3x^2y\left(\frac{d^2y}{dx^2}\right)-6xy^2\left(\frac{d^2y}{dx^2}\right)+2y^3\left(\frac{d^2y}{dx^2}\right)$

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 Exercise

 Step-by-step Solution

 Final answer to the exercise  

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Final answer to the exercise  