It’s the part of mathematics concerned with finding slopes of curves, areas under curves, minima and maxima, and other geometric and analytical problems.
What is infinitesimal calculus?
100
-5x^4-7x^3-2x^2+6x-1 --> 2
What is the maximum number of positive real roots?
-5x^4-7x^3-2x^2+6x-1
100
Standard Calculus.
What is infinitesimal calculus also known as?
100
Law Degree
What degree did Descartes receive in 1617?
200
Touraine, France
Where was Descartes born?
200
Find the slope of a tangent line at that one point using the slope formula. or take the derivate of that function with respect to the x and/or y value of the point
How do you find the rate at which a curve is changing at a single point?
200
Pierre de Fermat
Which other mathematician came up with an idea similar to the Cartesian system yet failed to publish?
200
5am
What time did Descartes teach math to the Queen of Sweden?
200
He had delicate health, caught pneumonia, and died in Sweden because he woke up too early
How did Descartes die?
300
He had "delicate" health
Why didn't he have to leave bed until late in the morning (11am)?
300
dx and dy
What are two small infinitesimal numbers/representations?
300
A fly
What was supposedly Descartes' inspiration for discovering the Cartesian coordinate system?
300
x^2 +y^2 = r
What is r in terms of rectangular coordinates?
300
Cartesius
What is the Latinized version of Descartes' name?
400
Math.
What did Descartes think was the "one certain thing"?
400
sqrt of (xsub2-xsub1)^2 + (ysub2 - ysub1)^2
What is the distance formula?
400
# positive real roots ≤ # of sign changes
What is the Rule of Signs?
400
3x^6-5x^5+2x^4-6x^3+2x^2+x+1 --> 4
What is the maximum number of positive real roots?
3x^6-5x^5+2x^4-6x^3+2x^2+x+1
400
8 years
What age was Descartes when he entered Jesuit College?
500
I think therefore I am
What famous phrase was uttered by Descartes?
500
Cartesian, polar, cylindrical, and spherical
Name 4 different coordinate systems?
500
3x^6-5x^5+2x^4-6x^3+2x^2+x+1 --> 2
What is the maximum number of negative real roots?
3x^6-5x^5+2x^4-6x^3+2x^2+x+1