Calculus Exam Flashcards
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103 Terms
Intermediate Value Theorem
Mean Value Theorem
Rolleās Theorem
Extreme Value Theorem
The Derivative of an Inverse Function
Average Rate of Change
Instantaneous Rate of Change
If the largest exponent in the numerator is < the largest exponent in the denominator then the limit as x approaches Ā± infinity =
0
If the largest exponent in the numerator is > the largest exponent in the denominator then the limit as x approaches Ā± infinity =
Infinity
If the largest exponent in the numerator is = the largest exponent in the denominator then the limit as x approaches Ā± infinity =
The coefficient of those two terms
Only four things you can do without a calculator needing no work shown:
1. Graphing a function within an arbitrary view
window.
2. Finding the zeros of a function.
3. Computing the derivative of a function numerically.
4. Computing the definite integral of a function
numerically.
Exponential growth/decay
Trapezoidal Rule
Area between two curves
Volume by disk method
Volume by washer method
Volume by shell method
Local Minimum
Local Maximum
Concavity Changes
The Fundamental Theorem of Calculus
Definition of the Integral by Summation Notation
tan(pi/6)
ā3/3
sin(pi/3)
ā3/2
sinĀ²x+cosĀ²x=
1
1+tanĀ²x=
secĀ²x
cscx=
1/sinx
secx=
1/cosx
How do you remove a removable discontinuity
Redefine f(x) as a piecewise function and set x equal to that point
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