Take the antiderivative of acceleration, plug in initial condition, solve for c.
200
What is "first times the derivative of the second, minus second times the derivative of the first"?
What is the product rule.
200
What famous mathematician created the signs for pi and e?
Who is Euler?
300
The derivative for tan(x) is:
What is [sec(x)]^2
300
State the four points of Rolle's Theorem.
1) Continuous
2) Differentiable
3) Y values of the endpoints are the same
4) f '(x)= 0
300
What is: "low d high minus high d low, all over low squared"?
What is the quotient rule.
300
What is sin(3.14....)?
What is: 0
400
The derivative for cot(x) is:
What is f '(x)= [-csc(x)]^2
400
Name the rules for horizontal asymptotes.
1) If the degree is larger on top, there is no asymptote.
2) If the degree is larger on bottom, y=0.
3) If the degree is the same on top and bottom, take the leading coefficients as the asymptote.
400
Take the derivative: y= a^u
What is y'= ln(a)* a^u * u'
400
Who was the first person to ever seriously start the beginning of Calculus?
(Hint: he was an ancient Greek.)
Who was Democritus.
500
The derivative for csc(x) is:
What is f '(x)= -csc(x)*cot(x)
500
List the five steps of the differentiable equation:
1) Separate variables
2) Integrate both sides
3) Add your "+c"
4) Plug in the initial condition
5) Solve for y.
500
Take the derivative of: x^5+9x-11
What is: 1/5(x)^4+9
500
What were the names of the man and woman from "Calculus: The Musical"?