Complex sentence: It is impossible to express y explicitly as a function of x (at least using elementary means, although the cubic formula will suffice for restricted values of x and y) and\\ begin\\ frac\\ end therefore cannot be found by explicit differentiation.
Split into simpler sentences: It is impossible to express y explicitly as a function of x (at least using elementary means, although the cubic formula will suffice for restricted values of x and y). Meaning,\\ begin\\ frac\\ end cannot be found by explicit differentiation.