Integrals
Derivatives
Big Questions
Equations
Vocabulary
100
4x^3
x^4
100
4x^2
8x
100
Name the 3 Rules for taking a derivative.
Product, Quotient, and Chain
100
R = __/__
Delta D over Delta T
100
The point in which the concavity of the function changes.
Point of Inflection
200
8x
4x^2
200
3x^4
12x^3
200
To go from position, to velocity, to acceleration, take the __________.
Derivative
200
Derivative of x^n
n*x^(n-1)
200
The rate of change of a function with respect to a variable.
Derivative
300
6x^2
2x^3
300
7x^5
35x^4
300
The Fundamental Theory of Calculus is finding the __________.
Area Underneath the Curve
300
Integral of x^n
x^(n+1)/(n+1)
300
A point on a curve where the curve sharply changes direction.
Cusps
400
1/2x^5
1/12x^6
400
8x^6
48x^5
400
The Instantaneous Rate of Change is found by finding the _________ ___ ___________ ______.
Slope of tangent line
400
Point Slope Form is
y-y1 = m(x-x1)
400
A line that a curve approaches infinitely close to, but never actually touches.
Asymptotes
500
1/x
ln(x)
500
1/3x
1/3
500
You can find the minima or maxima of by taking the derivative and finding where that equals _____ or _______ ______, but the ________ does.
0, doesn't exist, function
500
m =
Slope, Change in y over change in x
500
A logarithm with base 'e'.
Natural Log