JEOPARDY

Contributors

100

Who is the first known contributor of differentiation?

Archimedes

200

Modern development of calculus is credited to which 2 persons?

Issac Newton and Gottfried Leibniz

300

Who developed a method for determining maxima,minima and tangents to curves?

Pierre de Fermat

400

Why is Archimedes known as the earliest contributor of differentiation?

He was the first to find the tangent to a curve other than a circle

REAL WORLD APPLICATION

100

Name 3 real world applications of Differentiation

Manufacturing, Economics, Medicine,Seismology

200

How can differentiation be applied in medicine?

Used to find the rate at which drug flows in bloodstream

300

What are maxima and minima?

The points that give the maximum and minimum values of the function within the given range

400

How can differentiation be applied in seismology?

Used to find the range of magnitudes of an earthquake

SOLVE

100

f(x)= cosx

-sin x

200

f(x)= 20x^-4 + 9

-80x^-5 

300

f(x) = 5x²(x+47)

15x² + 470 x

400

f(x)= (122x³ - 49)^-4

1464x²/ (122x³ - 49)⁵

MYSTERY BOX

100

What is the derivative of a constant?

0

200

What is differentiation?

Fundamental concept that deals with the rate at which a quantity changes. Concerened with the rate of change of a function with respect to its independent variable

300

FREEBIESSSS

CONGRATS!

400

What notation is f'(x)?

LaGrange's notation