Show:
Regular Derivatives
The Chain Rule
Graphing
First/Second Derivative Tests and Concavity
Random
100
The Product Rule
What is f(x) g'(x) + g(x) f'(x)?
100

The derivative of f(x) = x^2 g(x).

What is x^2 g'(x) + 2x g(x)?

100
The y-intercept of y = x^3 - x.
What is 0?
100
The definition of a critical number.
What is a zero of the derivative or a place where it doesn't exist?
100
The minimum number of people needed to guarantee two of them have the same birthday.
What is 366?
200
The derivative of sec(x).
What is sec(x)tan(x)?
200
The derivative of f(x) = (g(x))^2.
What is 2g(x)g'(x)?
200
The symmetry of y = x^3 + x.
What is odd?
200
The concavity if f''(x) < 0.
What is concave down?
200
The number of points in a single category in Jeopardy.
What is 1500?
300
The derivative of sin^(-1)(x).
What is 1/sqrt(1-x^2)?
300
The derivative of f(x) = g(e^x).
What is g'(e^x) e^x?
300
An x-intercept of y = x^3 + 6x^2 + 9x.
What is 0? or -3?
300
The definition of inflection point.
What is a point at which the function is continuous and the concavity changes?
300
The odds that a family with two children, the older one being a boy, has two boys.
What is 1/2?
400
The derivative of cos(tan(x)).
What is -sin(tan(x)) sec^2(x)?
400
The derivative of f(x) = g(g(x)).
What is g'(g(x)) g'(x)?
400
The domain of 1 + 1/x + 1/x^2.
What is all real numbers except 0?
400
What we use the second derivative test for.
What is identifying local maximums and minimums?
400
The number of ways to choose two DVD's out of a stack of five.
What is 10?
500
The derivative of 10^(tan(pi x)).
What is pi ln(10) 10^(tan(pi x)) sec^2(pi x)?
500
The derivative of h(x) = f(g(sin(4x))).
What is 4 f'(g(sin(4x))) g'(sin(4x)) cos(4x)?
500
The domain of y = x sqrt(5-x).
What is (-infinity,5]?
500
The interval upon which y = e^x + x is concave up.
What is (-infinity,infinity)?
500
The number of Nobel prizes in mathematics that have been awarded as of January 2009.
What is 0?