deduce (something) from (something)
To infer information from something. Oh, I deduced from her disinterested tone that she wouldn't be joining us today. A: "Did you know he wasn't coming?" B: "I deduced that when I saw you pull up alone."
deduce something from something
to infer or conclude something from a set of facts. Can I deduce a bit of anger from your remarks? I deduce nothing from everything I have heard today.