How do you differentiate $\frac{d}{dx^2}f(x)$, where $f(x) = x$?
Attempt: I know $\frac{d}{dx}f(x) = 1$, but I am not sure what to do when you differentiate with respect to a higher order term.
How do you differentiate $\frac{d}{dx^2}f(x)$, where $f(x) = x$?
Attempt: I know $\frac{d}{dx}f(x) = 1$, but I am not sure what to do when you differentiate with respect to a higher order term.
Do you really mean ${d\over dx^2}f(x)$? or do you mean ${d^2\over dx^2}f(x)$?
If the latter, it's just the derivative of the derivative (which, in your example $f(x)=x$, is just $0$).
If the former, I guess ${d\over dx^2}f(x)={df(x)\over dx}\cdot{dx\over dx^2}={df(x)\over dx}\div{dx^2\over dx}={df(x)\over dx}\div(2x)={1\over2x}$ in your case.