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Unit 2: Differentiation-Limit Definition and Fundamental Properties
What is a Derivative?
What is a Derivative?
Algebra vs. Calculus
Slope of Tangent Line Examples from Actual AP Exams
Is it Differentiable?
Differentiability Examples From Actual AP Exams
Derivative Notation and Language
Limit Definition of the Derivative (The Long Way)
Limit Definition of the Derivative Examples from Actual AP Exams
Meaning: Limit Definition of the Derivative
Identifier: Limit Definition of the Derivative
Method: Limit Definition of the Derivative
Example 1: Limit Definition of the Derivative
The 5 Main Derivative Rules
5 Main Derivative Rules
Always Step 1: Simplify and Look for Algebraic Rewrites.
Roots or Radicals
x’s on the Bottom of a Fraction
Trig Functions Raised to a Power
Look to Make Your Life Easier
Rule 1: Constants
Identifier: Derivative of Constants
Method: Derivative of Constants
Example 1: Derivative of a Constant
Rule 2: Power Rule
Power Rule Examples from Actual AP Exams
Identifier: Power Rule Derivative
Method: Power Rule Derivative
Example 1: Power Rule Derivative
Example 2: Power Rule Derivative
Example 3: Power Rule Derivative
Rule 3: Product Rule
Product Rule Examples from Actual AP Exams
Identifier: Product Rule Derivative
Method: Product Rule Derivative
Example 1: Product Rule Derivative
Rule 4: Quotient Rule
Quotient Rule Derivative Examples from Actual AP Exams
Identifier: Quotient Rule Derivative
Method: Quotient Rule Derivative
Example 1: Quotient Rule Derivative
Rule 5: Chain Rule
Chain Rule Examples From Actual AP Exams
Identifier: Chain Rule Derivative
Method: Chain Rule Derivative
Example 1: Chain Rule Derivative
Special Case Derivatives: Your new multiplication tables
Special Case Derivatives Overview
Six Trig Functions
Trig Function Derivative Examples From Actual AP Exams
Identifier: Trig Function Derivatives
Method: Trig Function Derivatives
Example 1: Trig Function Derivatives
Example 2: Trig Function Derivatives
Six Inverse Trig Functions
Inverse Trig Derivative Examples from Actual AP Exams
Identifier: Inverse Trig Derivatives
Method: Inverse Trig Derivatives
Example 1: Inverse Trig Derivatives
Example 2: Inverse Trig Derivatives
ex
Derivative of ‘e’ Examples From Actual AP Exams
Identifier: e^(x) Derivative
Method: e^(x) Derivatives
Example 1: e^(x) Derivative
ln ( x )
Derivative of ln(x) Examples From Actual AP Exams
Identifier: ln(x) Derivative
Method: ln(x) Derivative
Example: ln(x) Derivative
a x = Any number raised to the x
Identifier: a^(x) Derivative
Method: a^(x) Derivative
Example 1: a^(x) Derivative
log b ⁡ x
Identifier: Logarithm Derivative
Method: Logarithm Derivative
Example 1: Logarithm Derivative
f – 1 (x) = Inverse Function
Derivative of Inverse Functions Examples from Actual AP Exams
Identifier: Inverse Function Derivative
Method: Inverse Function Derivative
Example 1: Inverse Function Derivative
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Chain Rule Examples From Actual AP Exams

  1. Unit 2: Differentiation-Limit Definition and Fundamental Properties
  2. Rule 5: Chain Rule
  3. Chain Rule Examples From Actual AP Exams

Do you want to see where chain rule problems appear on previous AP Calc exams and a video solution for those problems and a video solution for those problems?
I have compiled a comprehensive list here so you don’t have to go looking all over the internet.

  • 2008 AP Calculus AB MCQ Part A Q8
  • 2008 AP Calculus AB MCQ Part A Q12
  • 2008 AP Calculus AB MCQ Part A Q13
  • 2008 AP Calculus AB MCQ Part A Q16
  • 2008 AP Calculus AB MCQ Part A Q23
  • 2008 AP Calculus AB MCQ Part A Q26
  • 2012 AP Calculus AB MCQ Part A Q7
  • 2012 AP Calculus AB MCQ Part A Q14
  • 2012 AP Calculus AB MCQ Part A Q20
  • 2012 AP Calculus AB MCQ Part A Q24
  • 2013 AP Calculus AB MCQ Part A Q16
  • 2013 AP Calculus AB MCQ Part A Q18
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