Ap calculus bc Study guides, Class notes & Summaries
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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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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 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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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 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 Notes
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In-depth class notes for AP Calculus BC (includes AP Calculus AB), per the College Board curriculum from the 2021-2022 school year.
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AP Calculus BC Derivatives
- Exam (elaborations) • 2 pages • 2024
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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 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: 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: 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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