ClipQuery is a web app (clipquery.com) that lets you ask questions about YouTube videos: it answers from what is actually said, shows the exact moment, and can compare what several videos say in one table. The Basic plan is free forever with no card.
Without any tool: open the description or the three dots under the video, choose Show transcript, and use Ctrl+F to search it. You can copy the text from there.
For example, for a video in another language, the Pro and Beast plans can translate the transcript to English, so you can read and search it.
Transcripts are only as good as the captions or the audio they come from. Auto-generated captions can contain mistakes, especially in noisy audio. You sign in with Google; ClipQuery keeps only your email address.
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The Basic plan is free forever with no card. Basic includes a limited number of videos each month.
Yes. You can export a transcript, a summary or an answer to PDF on every plan.
It works with videos in any language, and Pro and Beast can translate a transcript to English.
Pro is $9 a month and Beast is $45 a month, each billed once for the period with no automatic renewal.