This form of mathematics has to do with the infinitesimal, and focuses on limits, derivatives, and integrals.
What is Calculus
100
This theorem states that a differentiable function which attains equal values at two distinct points must have a point somewhere between them where the first derivative is zero.
What is Rolle's Theorem
100
This rule states that the derivative of a sum is equivalent to the sum of the derivatives.
What is the rule of sums
100
dy/dx is the notation for this commonly used calculus operation.
What is a derivative
200
The integral of sin(x) from -1 to 1 is this
What is 0
200
This historical genius is known to have discovered Calculus and served as a chair at Cambridge University
Who is Isaac Newton
200
The theorem used to evaluate a definite integral of a function - perhaps the most important theorem in Calculus, giving it this appropriate name.
What is the 1st Fundamental Theorem of Calculus
200
You would need this rule to get the derivative of the function f(x) = sin(5x+3)
What is the Chain Rule
200
The "S" commonly used in integral notation stands for this
What is sum
300
The function tan(x) is not continuous everywhere because it has what behavior?
What is asymptotic
300
This man, whose name translates to "hospital" is known for coming up with a calculus rule named after him.
Who is L'Hôpital
300
This theorem is also known as "Rolle's Theorem Turned on its Side"
What is the Mean Value Theorem
300
If g(x) is the inverse function of f(x), then g'(x) equals this.
What is 1/f'(g(x))
300
The Greek letter Epsilon represents this
What is an extremely small positive number
400
cos(x) is the derivative of an equation. The equation's indefinite integral is this.
What is -cos(x)
400
This man is known for shouting "Eureka!" when he discovered he could measure volume by water displacement.
Who is Archimedes
400
This theorem allows us to calculate the limit of sin(x)/x as x approaches zero.
What is the Squeeze Theorem
400
This function is the only function which is its own derivative.
What is e^x
400
What is the greek symbol Sigma used for in mathematics?
What is summation/summation notation
500
This is the integral from -1 to 1 of the function x^2 + y^2 = 1
What is pi/2
500
The biggest controversy over who invented calculus is between these two people.
Who are Isaac Newton and Godfried Leibniz
500
This theorem is named after the best calculus teacher in the history of mankind.
What is Green's Theorem
500
The quotient rule is the name of this equation.
What is (f'(x)g(x)-g'(x)f(x))/(g(x)^2)
500
A y with a dot above it was Newton's notation stands for this