  ```GSE Algebra I ``` `UNIT 1 - Relationships Between Quantities` `UNIT 2 - Linear Equations & Inequalities` `UNIT 3 - Modeling Quadratics` `UNIT 4 - Modeling & Analyzing Exponential Functions` `UNIT 5 - Comparing & Contrasting Functions` `UNIT 6 - Describing Data` `EOC Prep` ```GSE Geometry ``` `UNIT 1 - Transformations in the Coordinate Plane ` `UNIT 2 - Similarity Congruence, Proofs` `UNIT 3 - Right Triangle Trigonometry` `UNIT 4 - Circles & Volume` `UNIT 5 - Geometric & Algebraic Connections` `UNIT 6 - Applications of Probability` `EOC Prep` ```GSE Algebra II ``` `UNIT 1 - Quadratics Revisited` `UNIT 2 - Operations with Polynomials` `UNIT 3 - Polynomial Functions` `UNIT 4 - Rational & Radical Relationships` `UNIT 5 - Exponential & Logarithmic Functions` `UNIT 6 - Mathematical Modeling` `UNIT 7 - Inferences & Conclusions from Data` ```GSE PreCalc ``` UNIT 1 - Trigonometry of General Triangles UNIT 2 - Introduction to Trig Functions UNIT 3 - Trigonometric Functions `UNIT 4 - Trigonometric Identities` `UNIT 5 - Matrices` `UNIT 6 - Conics` `UNIT 7 - Vectors` `UNIT 8 - Probability` Other Courses Calculus I ```Adv. Mathematical Decision Making ``` `UNIT 1 - Analyzing Numerical Data` `UNIT 2 - Probability` `UNIT 3 - Statistical Studies` `UNIT 4 - Recursion Models` `UNIT 5 - Trigonometry & Regression Models` `UNIT 6 - Financial Decisions` `UNIT 7 - Networks & Graphs` `UNIT 8 - Matrix Applications & Voting Methods` ```Analytical Geometry ``` `UNIT 1 - Similarity, Congruence, Proof` `UNIT 2 - Right Triangle Trigonometry` `UNIT 3 - Circles & Volumes` `UNIT 4 - Extending the Number System` `UNIT 5 - Quadratic Functions` `UNIT 6 - Modeling Geometry` `UNIT 7 - Applications of Probability` `EOC Practice Test` ```Coordinate Algebra ``` `EOC Practice Test` ```Integrated Algebra I ``` `UNIT 1 - Function Families` `UNIT 2 - Algebra Investigations` `UNIT 3 - Geometry` `UNIT 4 - The Chance of Winning` `UNIT 5 - Algebraic Investigations` `UNIT 6 - Coordinate Geometry` `EOCT Prep` ```Integrated Geometry ``` `UNIT 1 - Quadratic Function` `UNIT 2 - Right Triangle Trigonometry` `UNIT 3 - Circles and Spheres` `UNIT 4 - Data Analysis & Probability` `UNIT 5 - Piecewise, Inverse, Exponential` `UNIT 6 - Find the Best Model` ```GPS Middle School Math ``` `6th Grade Math` `7th Grade Math` `8th Grade Math` Home > Calculus >Unit 2 - Differentiation         Search Site:

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 Unit 1 Unit 2 Unit 3 Unit 4 Unit 5

Georgia
Calculus 1 - Standards All of Unit 2
Unit 2-1 :
Derivative by Definition (Doc, PDF, Key)
Georgia Standards of Excellence (Click to Expand)

MC.D.1 Students will demonstrate an understanding of the definition of the derivative of a function at a point, and the notion of differentiability.

a. Demonstrate an understanding of the derivative of a function as the slope of the tangent line to the graph of the function.

b. Demonstrate an understanding of the interpretation of the derivative as instantaneous rate of change.

Video Lessons: (p1, p2, p3, p4, p5a, p5b, p6)

Sample Quiz: (Interactive, PDF) Unit 2-2 : The Power Rule (Doc, PDF, Key)
Georgia Standards of Excellence (Click to Expand)

MC.D.1 Students will demonstrate an understanding of the definition of the derivative of a function at a point, and the notion of differentiability.

a. Demonstrate an understanding of the derivative of a function as the slope of the tangent line to the graph of the function.

b. Demonstrate an understanding of the interpretation of the derivative as instantaneous rate of change.

e. Use derivative formulas to find the derivatives of algebraic, trigonometric, inverse trigonometric, exponential, and logarithmic functions.

Video Lessons: (
p1a, p1b, p2a, p2b, p3a, p3b, p4a, p4b)

Sample Quiz: (Interactive, PDF) Unit 2-3: Product & Quotient Rule (Doc, PDF, Key)
Georgia Standards of Excellence (Click to Expand)

MC.D.1 Students will demonstrate an understanding of the definition of the derivative of a function at a point, and the notion of differentiability.

a. Demonstrate an understanding of the derivative of a function as the slope of the tangent line to the graph of the function.

b. Demonstrate an understanding of the interpretation of the derivative as instantaneous rate of change.

e. Use derivative formulas to find the derivatives of algebraic, trigonometric, inverse trigonometric, exponential, and logarithmic functions.

Video Lessons: (p1, p2a, p2b, p3, p4a, p4b, p5a, p5b)

Sample Quiz: (Interactive, PDF) Unit 2-4: Trigonometry Review (Doc, PDF, Key)
Georgia Standards of Excellence (Click to Expand)

(GSE PreCalculus) MGSE9-12.F.TF.9 Prove addition, subtraction, double and half-angle formulas for sine, cosine, and tangent and use them to solve problems.

(GSE GEOMETRY) MGSE9-12.G.SRT.6 Understand that by similarity, side ratios in right triangles are properties of the angles in the triangle, leading to definitions of trigonometric ratios for acute angles.

(GSE PreCalculus) MGSE9-12.F.TF.4 Use the unit circle to explain symmetry (odd and even) and periodicity of trigonometric functions.

Video Lessons: (
p1a, p1b, p2, p3)

Sample Quiz: (Interactive, PDF) Unit 2-5: Derivative of Sine & Cosine (Doc, PDF, Key)
Georgia Standards of Excellence (Click to Expand)

MC.D.1 Students will demonstrate an understanding of the definition of the derivative of a function at a point, and the notion of differentiability.

a. Demonstrate an understanding of the derivative of a function as the slope of the tangent line to the graph of the function.

b. Demonstrate an understanding of the interpretation of the derivative as instantaneous rate of change.

e. Use derivative formulas to find the derivatives of algebraic, trigonometric, inverse trigonometric, exponential, and logarithmic functions.

Video Lessons: (
p1, p2, p3, p4, p5)

Sample Quiz: (Interactive, PDF) Unit 2-6: Derivative Other Trig Functions (Doc, PDF, Key)
Georgia Standards of Excellence (Click to Expand)

MC.D.1 Students will demonstrate an understanding of the definition of the derivative of a function at a point, and the notion of differentiability.

a. Demonstrate an understanding of the derivative of a function as the slope of the tangent line to the graph of the function.

b. Demonstrate an understanding of the interpretation of the derivative as instantaneous rate of change.

e. Use derivative formulas to find the derivatives of algebraic, trigonometric, inverse trigonometric, exponential, and logarithmic functions.

Video Lessons: (p1, p2, p3a, p3b, p3c, p4)

Sample Quiz: (Interactive, PDF) Unit 2-7: The Chain Rule (Doc, PDF, Key)
Georgia Standards of Excellence (Click to Expand)

MC.D.2 Students will apply the rules of differentiation to functions.

a. Use the Chain Rule and applications to the calculation of the derivative of a variety of composite functions.

Video Lessons: (
p1-2, p3, p4)

Sample Quiz: (Interactive, PDF) Unit 2-8: Implicit Differentiation (Doc, PDF, Key)
Georgia Standards of Excellence (Click to Expand)

MC.D.2 Students will apply the rules of differentiation to functions.

a. Use the Chain Rule and applications to the calculation of the derivative of a variety of composite functions.

b. Find the derivatives of relations and use implicit differentiation in a wide variety of problems from physics, chemistry, economics, etc.

Video Lessons: (
p1, p2a, p2b, p3, p4)

Sample Quiz: (Interactive, PDF) Unit 2-9: Derivative of Log Functions (Doc, PDF, Key)
Georgia Standards of Excellence (Click to Expand)

MC.D.1 Students will demonstrate an understanding of the definition of the derivative of a function at a point, and the notion of differentiability.

a. Demonstrate an understanding of the derivative of a function as the slope of the tangent line to the graph of the function.

b. Demonstrate an understanding of the interpretation of the derivative as instantaneous rate of change.

e. Use derivative formulas to find the derivatives of algebraic, trigonometric, inverse trigonometric, exponential, and logarithmic functions.

Video Lessons: (p1, p2, p3, p4)

Sample Quiz: (Interactive, PDF) Unit 2-10: Derivative of Inverse Trig Func. (Doc, PDF, Key)
Georgia Standards of Excellence (Click to Expand)

MC.D.1 Students will demonstrate an understanding of the definition of the derivative of a function at a point, and the notion of differentiability.

a. Demonstrate an understanding of the derivative of a function as the slope of the tangent line to the graph of the function.

b. Demonstrate an understanding of the interpretation of the derivative as instantaneous rate of change.

e. Use derivative formulas to find the derivatives of algebraic, trigonometric, inverse trigonometric, exponential, and logarithmic functions.

Video Lessons: (p1, p2, p3, p4, p5)

Sample Quiz: (Interactive, PDF) TEST : Testing Item Banks for Exam View

(360 available questions for Unit 2) 