Ap bc calculus Study guides, Class notes & Summaries
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AP Calculus BC: Chapter. 1-2 Pre-calculus Review and Limits 2024
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AP Calculus BC: Chapter. 1-2 Pre-calculus Review and Limits 2024 
 
parent function of f(x)=√(x) - Answer>> ... 
 
parent function of f(x)=x³ - Answer>> ... 
 
odd function if... - Answer>> if f(-x)=f(x) 
 
y=f(Cx); C makes the graph do... - Answer>> compresses graph vertically 
 
constant multiple rule for derivatives - Answer>> d/dx cxⁿ=cnxⁿ⁻¹ 
 
for a constant function, the derivative... - Answer>> the derivative must equal 0
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CALIFORNIA BASIC EDUCATIONAL SKILLS TEST
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WHAT IS THE CBEST? 
The California Basic Educational Skills 
Test, or CBEST, is a four-hour exam 
divided into three different sections – a 
multiple choice Reading section, a 
multiple choice Mathematics section, 
and a Writing section with two essays. 
WHO MUST TAKE THE CBEST? 
In California, you must take the CBEST if : 
• You are applying for a CTC approved 
teacher preparation/credential program 
• You are applying to be a day to day 
substitute 
• You are applying for a first teach...
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AP Calculus BC Question And Answers ( Latest exam )
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AP Calculus BC Question And Answers ( Latest exam )
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AP Calculus BC Series test with Answers
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AP Calculus BC Series test with Answers 
 
nth term test - Answer>> When n probably doesn't equal zero 
Divergent if the limit as n goes to infinity does NOT equal zero 
Does not determine convergence 
 
Geometric series test - Answer>> Something is multiplied over and over 
The series of (r)^n converges if |r|<1 and diverges if |r|>1 or |r|=1
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AP Calculus BC Series Tests + Power Series
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AP Calculus BC Series Tests + Power Series 
 
N-th term test 
limₙ→∞ ∑aₙ ≠ 0 is absolute divergence 
*CANNOT show convergence 
Integral Test 
∫∞,n f(x) converges/diverges 
Harmonic series 
∑ 1/n, diverges 
P-series ∑1/pⁿ 
ⁿ>1 is convergence 
ⁿ≤1 is divergence 
Direct comparison test 
0<aₙ≤bₙ AND bₙ converges is convergence 
0<bₙ≤aₙ AND bₙ diverges is divergence 
*inconclusive if conditions not met
Fear of missing out? Then don’t!
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AP Calculus BC Concepts Exam Review.
- Exam (elaborations) • 2 pages • 2024
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AP Calculus BC Concepts Exam Review. 
 
Derivative of y=lnx - Answer>> x'/x or 1/x 
 
Derivative of y=e^x - Answer>> x'e^x or e^x 
 
Derivative of y=4^x - Answer>> (a^x)lna 
 
Derivative of log7(x) - Answer>> x'/xlnb 
 
Derivative of y=ln[(x+4)^12 * (3x-1)^5] - Answer>> Simplify to y=12ln(x+4)+5ln(3x-1) then solve
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AP Calculus BC Derivatives
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AP Calculus BC Derivatives 
 
cosx - Answer>>(d/dx) sinx 
 
-sinx - Answer>>(d/dx) cosx 
 
sec^2x - Answer>>(d/dx) tanx 
 
-csc^2x - Answer>>(d/dx) cotx 
 
secxtanx - Answer>>(d/dx) secx 
 
-cscxcotx - Answer>>(d/dx) cscx 
 
1 / sqrt(1-x^2) - Answer>>(d/dx) sin^-1x 
 
-1 / sqrt(1-x^2) - Answer>>(d/dx) cos^-1x
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AP Calculus BC Exam Review: Formulas, theorems, etc that are likely to pop out or to be used in the exam
- Exam (elaborations) • 2 pages • 2024
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AP Calculus BC Exam Review: Formulas, theorems, etc that are likely to pop out or to be used in the exam 
 
 
limits and continuity - Answer>> a function y = f(x) is continuous at x = a if: f(a) is defined, the limit of f(x) as x approaches a exists, and the limit of f(x) as x approaches a is equal to f(a). 
otherwise, f is discontinuous at x = a 
The limit exists iff both corresponding one sided limits exist and are equal.
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Calculus Notes Package
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Notes for single variable calculus on chapters 2-11 of Calculus by James Stewart. Includes practice problems with solutions. These notes were taken for AP Calculus BC.
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AP Calculus BC Unit 1 Notes
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The new units taught in AP Calculus BC are in this document with examples and notes. It is comprehensive and helps with learning the method to do each problem.
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