Solución

x1/2(x2+3)2/3(3x4)4[12x+4x3(x2+3)+123x4]{x^{ - 1/2}}{\left( {{x^2} + 3} \right)^{2/3}}{\left( {3x - 4} \right)^4}\left[ {{{ - 1} \over {2x}} + {{4x} \over {3\left( {{x^2} + 3} \right)}} + {{12} \over {3x - 4}}} \right]