Derivatives? Yes. Differential equations? Doubtful. Very doubtful. anything that would require a diff equation would be sent to IT or data science or an outside vendor to do.
You're probably not that familiar with corporate America. It's a place where "math" means "arithmetic." And when people say, "I'm bad at math," they are usually referring to making a multiplication error. I'm like, "yes, you are bad at math but not for the reasons you think." If you're lucky, you might find someone who can do some algebra.
Law schools and lawyers are little better. Law professors love to make up hypotheticals like: suppose the value of this item is $100. A had agreed to buy it from B for $95, and now C wants to buy it from A for $105. Should A sell to B or C? This is what passes for "math" in law school. In some courses there's a little bit more than that, but I can't remember ever seeing basic algebra, let alone anything harder. I suspect that maybe 15,20% of my students could pass a high school geometry exam.
Now, in the hedge fund world -- the quant segment of it -- diff eq is absolutely valued. You probably know PhDs in math or physics who went to work in finance. That's totally different. Some of those financial models are crazy intricate.