I was exposed to both notations in college when I was studying math and physics. The mathematicians preferred Leibnitz's notation and so did the physicists for

I was exposed to both notations in college when I was studying math and physics. The mathematicians preferred Leibnitz's notation and so did the physicists for some things. But we used Newton's dot or prime notation for derivatives in mechanics and for some differential equations. It seems to me that Newton's notation and terminology lost market share but wasn't completely dropped.