Unit 1
What is the slope of the tangent line to a point?
The general formula for the chain rule
What is f'(g(x))*g'(x)?
Another word for integral (kind of)
What is an antiderivative?
2x +3 (from 1 to 4)
What is 24?
An example of a tangent line
What is this?
The general formula for the quotient rule
What is g(x)f'(x) - f(x)g'(x) all over g(x)^{2} ("low d high minus high d low all over low squared")?
The integral's meaning on a graph
What is the area under the curve?
6x(x-1) from 0 to 1
What is -1?
The possible meanings of a second derivative
The derivative of f(x) = (6x^2 - 7x)^-4
What is -4(6x^2 -7x)^-3 * (12x - 7)?
The non integral way of finding area under the curve
What is a Reimann's Sum
The indefinite integral of x^4 + 3x - 9
What is x^5/5 + 3x^2/2 - 9x + C?
A particle is moving along a line. Its displacement (in
meters) after t minutes is: s(t) = -t^3
Find the average velocity over the interval [1,4]
What is -21 meters?
Any max or min on an interval [a,b]
What is a local max or min?
The equation for the average value of a function
integral/ b-a
The indefinite integral of 6x^5 - 18x^2 + 7
What is x^6 - 6x^3 + 7x + C?
A graph that has a local minimum at x = 3 and a global minimum at x= -2
What is this?
The derivative of f(x) = (6x^2 - 7x)^-4
What is -4(6x^2 -7x)^-3 * (12x - 7)?
What is
1. Calculate the integral of the given derivative
2. Input the value given
3. Solve for C
The indefinite integral of z^6 - 4z + 8
What is z^7/7 - 2z^2 + 8x?