JSFiddle - React, Tailwind, and code Playground

HTML

<div class="search">
    <input type="text" placeholder="Search..." />
    <button type="submit">Search</button>
</div>

CSS

.search button {
    display: none;
}

.search input:focus + button {
    display: block;
}
.search button:hover,
.search button:focus {
    display:block;
}