El gráfico de la función cruce el eje X con f = 0
o sea hay que resolver la ecuación:
$$\frac{3 x}{\left(x + 2\right)^{5}} = 0$$
Resolvermos esta ecuaciónPuntos de cruce con el eje X:
Solución analítica$$x_{1} = 0$$
Solución numérica$$x_{1} = -2115.39407337427$$
$$x_{2} = 3778.47396385974$$
$$x_{3} = 8356.60783176424$$
$$x_{4} = -6038.40742521232$$
$$x_{5} = 2253.78561686757$$
$$x_{6} = 6176.28617277053$$
$$x_{7} = 7048.38559098239$$
$$x_{8} = -8000.71925300786$$
$$x_{9} = 7484.45168272532$$
$$x_{10} = -5820.38560276851$$
$$x_{11} = 4214.35362847803$$
$$x_{12} = 9446.83625033851$$
$$x_{13} = -2986.69959366926$$
$$x_{14} = 3342.66761373814$$
$$x_{15} = -4076.38756611102$$
$$x_{16} = 6612.32967379603$$
$$x_{17} = 10537.0906499038$$
$$x_{18} = -6256.43250262609$$
$$x_{19} = 10100.9863237114$$
$$x_{20} = -1462.57776630883$$
$$x_{21} = -4948.33908927695$$
$$x_{22} = -2550.97021598387$$
$$x_{23} = -4730.34034483504$$
$$x_{24} = -3640.46750996221$$
$$x_{25} = -8872.9021662238$$
$$x_{26} = -9527.05085003887$$
$$x_{27} = -8218.76308422173$$
$$x_{28} = -7564.63602165329$$
$$x_{29} = 8574.65094777972$$
$$x_{30} = -9090.95076046343$$
$$x_{31} = 10755.1439365764$$
$$x_{32} = 10319.0380960822$$
$$x_{33} = -3858.42165699106$$
$$x_{34} = -9963.15439399677$$
$$x_{35} = -7346.59687658606$$
$$x_{36} = 8792.69544580701$$
$$x_{37} = 7266.41748340073$$
$$x_{38} = 3996.40622809146$$
$$x_{39} = 2906.97057103029$$
$$x_{40} = 2036.22372657313$$
$$x_{41} = 1601.59103959569$$
$$x_{42} = -5384.35324024714$$
$$x_{43} = 5740.25804028055$$
$$x_{44} = 3124.80232824445$$
$$x_{45} = 5304.24924549185$$
$$x_{46} = 3560.55981846581$$
$$x_{47} = 7702.4879868014$$
$$x_{48} = -1245.24909500565$$
$$x_{49} = 4650.28485727616$$
$$x_{50} = -7782.6768586203$$
$$x_{51} = 4432.31380310329$$
$$x_{52} = 9228.78818572617$$
$$x_{53} = 10973.1979114489$$
$$x_{54} = 5086.25373071686$$
$$x_{55} = -7128.55957384059$$
$$x_{56} = 1384.70934141197$$
$$x_{57} = -5166.34361226107$$
$$x_{58} = 0$$
$$x_{59} = 6394.30620634929$$
$$x_{60} = -8654.85463395145$$
$$x_{61} = -9745.10221853745$$
$$x_{62} = -3204.60347382463$$
$$x_{63} = 1818.80279392259$$
$$x_{64} = -3422.52723384271$$
$$x_{65} = -9309.00034384119$$
$$x_{66} = 4868.2652534221$$
$$x_{67} = -8436.80824380562$$
$$x_{68} = 2689.18130912746$$
$$x_{69} = -5602.36740046981$$
$$x_{70} = 11191.2525334252$$
$$x_{71} = 2471.4470231177$$
$$x_{72} = 6830.35623437247$$
$$x_{73} = -4294.36353545452$$
$$x_{74} = -6692.4911917866$$
$$x_{75} = 7920.52621642537$$
$$x_{76} = 5958.26996576027$$
$$x_{77} = -10617.315275488$$
$$x_{78} = -6910.52428221655$$
$$x_{79} = 9664.88534020099$$
$$x_{80} = -2768.81993762366$$
$$x_{81} = -4512.34817643852$$
$$x_{82} = -1680.07661022545$$
$$x_{83} = -10181.2073257131$$
$$x_{84} = 8138.56621217736$$
$$x_{85} = -10399.2609671436$$
$$x_{86} = 9882.93538578533$$
$$x_{87} = -2333.15808827566$$
$$x_{88} = -1897.69302269529$$
$$x_{89} = 9010.74122280446$$
$$x_{90} = -6474.46051735693$$
$$x_{91} = 5522.25092640544$$