Calculus bc - Study guides, Class notes & Summaries
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Unit 5 AP Calculus BC Vocabulary Test with Answers
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Unit 5 AP Calculus BC Vocabulary Test with Answers 
 
If a function is continuous on [a, b], then the function must obtain an absolute min and absolute max on [a, b]. - Answer>> Extreme Value Theorem
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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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AP Calculus BC: Chapter. 1-2 Pre-calculus Review and Limits 2024
- Exam (elaborations) • 5 pages • 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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AP Calculus BC Unit 2 Derivatives
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AP Calculus BC Unit 2 Derivatives 
 
derivative at a point - Answer>> using limits: 
- lim [(f(x) - f(c)]/[x-c] 
 x->c 
equation of tangent line: 
1. find the derivative at a point 
2. plug in points in point slope form (derivative is the slope) 
normal line: perpendicular to tangent line 
- negative reciprocal slope of tangent line's slope
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AP Calculus BC Must Know Formulas
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AP Calculus BC Must Know Formulas 
 
cos^2x+sin^2x - Answer>> 1 
 
1+tan^2x - Answer>> sec^2(x) 
 
1+cot^2x - Answer>> csc^2x 
 
sin2x - Answer>> 2sinxcosx 
 
cos^2x - Answer>> (1+cos2x)/2 
 
cos2x - Answer>> cos^2x-sin^2x 
 
cos(2x) - Answer>> 1-2sin^2x
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AP Calculus BC Study Guide Exam with complete solutions 2024_2025
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AP Calculus BC Study Guide Exam with complete solutions 2024_2025
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ap calculus bc semester 1 review Exam with complete solutions 2024_2025
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ap calculus bc semester 1 review Exam with complete solutions 2024_2025
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AP Calculus BC: Chapter. 1-2 Pre-calculus Review and Limits 2024
- Exam (elaborations) • 5 pages • 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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AP Calculus BC Derivatives Questions and answers latest update
- Exam (elaborations) • 2 pages • 2024
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AP Calculus BC Derivatives Questions and answers latest update
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AP Calculus BC Series Tests + Power Series
- Exam (elaborations) • 3 pages • 2024
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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
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