What's the derivative of $\displaystyle \displaystyle {3x^2\frac{d^2y}{dx^2}$ with respect to x? I don't know what to make of the $\displaystyle \dfrac{d^2y}{dx^2}$. Can I say $\displaystyle \frac{d}{dx}(\frac{d^2y}{dx^2}) = \frac{d^3y}{dx^3}$?
What's the derivative of $\displaystyle \displaystyle {3x^2\frac{d^2y}{dx^2}$ with respect to x? I don't know what to make of the $\displaystyle \dfrac{d^2y}{dx^2}$. Can I say $\displaystyle \frac{d}{dx}(\frac{d^2y}{dx^2}) = \frac{d^3y}{dx^3}$?