JSFiddle - React, Tailwind, and code Playground

HTML

<nav class="nav" id="nav">
    	<span class="menuMobile" id="menuMobile">&#9776</span>
        <ul id="navulfirst">
        	<li><a href="#"><img class="lupa" alt="Pesquisar" src="img/lupa.png" ></a>
            	<div id="caixaPesquisa">
                	<form id="formPesquisa" action="" method="post">
                    	<input id="pesquisa" type="text" value="" maxlength="150" placeholder="Pesquisar...">
                    </form>
                </div>
            </li>
            <li><a href="#">Página Inicial</a></li>
            <li><a href="#">Produtos<img class="flechaVertical" alt="Flecha" src="img/flecha.png"></a>
            	<ul>
                	<li><a href="#">Aparadores de livros</a></li>
                    <li><a href="#">Caixinhas</a></li>
                    <li><a href="#">Chaveiros</a></li>
                    <li><a href="#">Decoração</a></li>
                    <li><a href="#">Pontos Turísticos</a></li>
                    <li><a href="#">Porta Celulares</a></li>
                    <li><a href="#">Porta Guardanapos</a></li>
                    <li><a href="#">Porta Retratos</a></li>
                    <li><a href="#">Relógios</a></li>
                    <li><a href="#">Topos de Bolos</a></li>
                    <li><a href="#">Veículos</a></li>
                </ul>
            </li>
            <li><a href="#"><img id="navLogo" class="navLogo" alt="Versatyll" src="img/logotipo.png"></a></li>
            <li><a href="#">Sobre</a></li>
            <li><a href="#">Contatos</a></li>
            <li><a href="#">Dúvidas</a></li>
        </ul>
    </nav>

CSS

.lupa{
	width:30px;
	height:30px;
	padding-left:35px;	
}

.flechaVertical{
	width:8px;
	height:8px;
	padding-left:5px;
	padding-top:20px;
	position:absolute;
	transform:rotate(-90deg);
	-moz-transform:rotate(-90deg);
	-webkit-transform:rotate(-90deg);
	-o-transform:rotate(-90deg);
	-ms-transform:rotate(-90deg);	
}

.menuMobile{
	width:40px;
	height:40px;
	position:fixed;
	display:block;
	text-align:center;
	background-color:#FFFFFF;
	font-size:30px;
	cursor:pointer;
	z-index:100;
	left:0;
	-moz-transition:left 1s ease;
	-webkit-transition:left 1s ease;
	-o-transition:left 1s ease;
	-ms-transition:left 1s ease;
}

#menuMobile.visible{
	left:200px;	
}

.navLogo{
	width:160px;
	height:90px;
	display:block;	
}

.nav{
	width:200px;
	text-align:left;
	background-color:#FFFFFF;
	position:fixed;
	z-index:101;
	left:-200px;
	transition:left 1s ease;
	-moz-transition:left 1s ease;
	-webkit-transition:left 1s ease;
	-o-transition:left 1s ease;
	-ms-transition:left 1s ease;
}

#nav.visible{
	left:0;	
}

.nav ul{
	list-style:none;
	padding:0;
	margin:0;
	position:relative;	
}

#navulfirst li:nth-child(4){
	display:none;	
}

#navulfirst li ul li:nth-child(4){
	display:block;
	/* Para aparecer o li do segundo ul */
}

.nav ul li a,visited{
	color:#000000;
	display:block;
	padding:20px;
	padding-left:45px;
	text-decoration:none;
}

.nav ul li a:hover{
	color:#990000;
	text-decoration:none;
}
/*-------------------------------*/

/* Nav Submenu */

.nav ul li:hover ul{
	display:block;
}

.nav ul ul{
	display:none;
	position:absolute;
	background-color:#FFFFFF;
	margin-left:100%;
	margin-top:-30%;
	height:550px;
	width:180px;
	z-index:101;
}

.nav ul ul li{
	display:block;
	padding:10px;	
}

.nav ul ul li a,visited{
	color:#000000;
	padding:0;	
}

.nav ul ul li a:hover{
	color:#FFFFFF;
	background-color:#990000;	
}

JavaScript

ShowHide();
	MenuMobile();
	
	//Functions
	
	function ShowHide(){
		$(".lupa").click(function(){
			$("#pesquisa").css("display", "inline-block");	
		});
		
		$("#pesquisa").blur(function(){
			$(this).css("display", "none");	
		});
	}
	
	function MenuMobile(){
		$(".menuMobile").click(function(){
			$(".nav").toggleClass("visible");
			$(".menuMobile").toggleClass("visible");
		});
	}