Derivatives
Integrals
Unit Circle
Miscellaneous
100
-SIN (X)
What is the derivative of COS (X)?
100
-COS (X) + C
What is the integral of SIN (X)?
100
The sine of 30° OR The cosine of 60°
What is ½?
100
f'(c)=[f(b)-f(a)] / b-a
What is the Mean Value Theorem?
200
COS (X)
What is the derivative of SIN (X)?
200
SIN (X) + C
What is the integral of COS(X)?
200
The cosine of 5π/6
What is -√3/2?
200
1. If the second derivative is positive at a critical point, then the point is a relative minimum. 2. If the second derivative is negative at a critical point, then the point is a relative maximum. 3. If the second derivative is 0 or undefined, the test is inconclusive and could be a maximum, minimum, or neither.
What is the second derivative test for local extrema?
300
SEC(X)TAN(X)
What is the derivative of SEC(X)?
300
Ln lSIN(X)l + C
What is the integral of COT(X)?
300
The sine of π
What is 0?
300
A word for instantaneous rate of change
What is a derivative?
400
-CSC(X)COT(X)
What is the derivative of CSC(X)?
400
-Ln lCSC(X) + COT(X)l + C
What is the integral of CSC(X)?
400
The tangent of 0
What is 0?
400
A point where the graph of a function has a tangent line and where concavity changes
What is a point of inflection?
500
1/X
What is the derivative of the ln(X)?
500
Ln lSEC(X) + TAN(X)l + C
What is the integral of SEC(X)?
500
The tangent of 4π/3
What is √3?
500
A line y = b is called a _________ for the graph of a function f if either the limit as f(x) approaches infinity equals b or the limit as f(x) approaches negative infinity equals b.
What is a horizontal asymptote?