Newton's notation for the derivative
What is f'?
Leibniz's notation for the derivative
What is dy/dx?
Rule named after this mathematician.
What is L'Hospital's rule?
Theory named after this mathematician.
What is Taylor's Theory?
Suffered from this condition
What are psychotic tendencies?
Feuded with this mathematician over the true inventor of calculus
Who is Isaac Newton?
L'Hospital's rule is used when this occurs
The equation for Integration by Parts
What is ∫ udv = uv - ∫ vdu?
College education ended early due to this
What is the Black Death (the plague)
His initial publication was met with controversy due to this accusation
What is reading Newtons' journals before publishing
Began his career here
What is the french military?
The branch of mathematics/calculus that Taylor specialized in
What is calculus of finite differences?
He and Leibniz's feud led to this in the mathematics community
What is it did not allow the discovery of calculus to have any major effect for decades?
Definition of a derivative
What is f'(x) = limh→0 f(x+h) - f(x) / h ?
or
f'(x) = lim∆x→0 f(x+∆x)-f(x) / ∆x
The book L'Hospital wrote was revolutionary due to this
What is it was the first textbook written on differential calculus?
The theory he discovered was done so in response to this
What is a comment from Machin about using Newton's series to solve Kepler's problem?
Invented calculus by doing this
What is reading over the works of philosophers such as Descartes?
Developed this concept of calculus which focused on these topics
What is infinitesimal calculus which focused on tangent lines, areas under curve, as well as analysis of maximum and minimum extremes?
Bernoulli said this about L'Hospital's book after his death
What is the majority of math in L'Hospital's book was actually discovered by him?
Name the other mathematicians who discovered the concept of Taylor's Expansion.
Who are Newton, Leibniz, James Gregory, and Bernoulli?