El gráfico de la función cruce el eje X con f = 0
o sea hay que resolver la ecuación:
$$\frac{1}{x^{x}} = 0$$
Resolvermos esta ecuaciónPuntos de cruce con el eje X:
Solución numérica$$x_{1} = 52.4531671056038$$
$$x_{2} = 58.3582640197134$$
$$x_{3} = 68.2276718183737$$
$$x_{4} = 40.7008185334871$$
$$x_{5} = 36.8089538973599$$
$$x_{6} = 34.8699087761587$$
$$x_{7} = 99.9439174981987$$
$$x_{8} = 17.8621789580753$$
$$x_{9} = 72.1828107912713$$
$$x_{10} = 46.5652631261988$$
$$x_{11} = 64.2764220502916$$
$$x_{12} = 76.1413254531398$$
$$x_{13} = 70.2047896673443$$
$$x_{14} = 50.4883678417107$$
$$x_{15} = 16.0836819918647$$
$$x_{16} = 56.3882754605529$$
$$x_{17} = 14.3611565864339$$
$$x_{18} = 84.0668645196752$$
$$x_{19} = 21.5265932118568$$
$$x_{20} = 12.7232134677106$$
$$x_{21} = 48.5256579248935$$
$$x_{22} = 23.3950885180201$$
$$x_{23} = 101.930466313076$$
$$x_{24} = 29.0900385673919$$
$$x_{25} = 90.0172197133402$$
$$x_{26} = 95.9719677706822$$
$$x_{27} = 103.917373707869$$
$$x_{28} = 88.033243790021$$
$$x_{29} = 93.9866062522323$$
$$x_{30} = 60.3296936513303$$
$$x_{31} = 38.7527961149016$$
$$x_{32} = 97.9577449847454$$
$$x_{33} = 44.6074453668823$$
$$x_{34} = 92.0016823602586$$
$$x_{35} = 27.1798111509318$$
$$x_{36} = 82.084523310173$$
$$x_{37} = 32.9364141972521$$
$$x_{38} = 42.6525105443508$$
$$x_{39} = 31.0094016395751$$
$$x_{40} = 78.1217137562714$$
$$x_{41} = 86.0497821231396$$
$$x_{42} = 66.2515244370976$$
$$x_{43} = 54.4198599076161$$
$$x_{44} = 74.1616744241369$$
$$x_{45} = 25.2806452643681$$
$$x_{46} = 62.302447588178$$
$$x_{47} = 80.1027936325819$$
$$x_{48} = 19.6799734728022$$