Calculus Daily Homework Assignment Sheet – Chapter 3 How do I find rates of change? – Part 2 Date Topic 3.1 Implicit Differentiation Assignment p190: 1-9 odd How do I find derivatives implicitly? 3.1 Implicit Differentiation pp190-191: 13, 15, 16, 25, 29, 32 How do I find derivatives implicitly? 3.2: Derivatives of Logarithmic Functions pp195-196: 1-25 odd How do I find the derivative of logarithmic functions? 3.2: Derivatives of Logarithmic Functions p196: 27, 29, 35-38, 41 How do I find the derivative of logarithmic functions? 3.3: Derivatives of Exponential and Inverse Trigonometric Functions p202: 15-35 odd How do I find the derivative of exponential functions? 3.3: Derivatives of Exponential and Inverse Trigonometric Functions 3.3 Worksheet How do I find the derivative of inverse functions? 3.3: Derivatives of Exponential and Inverse Trigonometric Functions pp202-203: 37-51 odd, 59 How do I find the derivative of inverse trigonometric functions? Test on 3.1-3.3 3.4: Related Rates Standardized Test Practice: 3.1-3.3 pp208-209: 1-9 odd How do I solve related rate problems? 3.4: Related Rates p209: 11-21 odd How do I solve related rate problems? 3.4: Related Rates p210: 24, 25, 27, 29 How do I solve related rate problems? 3.5: Local Linear Approximation; Differentials 3.5 Worksheet How do I use a local linear approximation to approximate a value of a function? 3.5 Local Linear Approximation; Differentials pp218-219: 37-45 odd, 51-59 odd, 63 How do I use differentials for error analysis? Review for Chapter 3 test Chapter 3 Take-home test Chapter 3 test none Topic: Topics in Differentiation Class: Calculus Unit Essential Question(s): Optional Instructional Tools: How do I find rates of change? Key Learning: Students will extend the process of differentiation to functions that are difficult or impossible to differentiate directly. Using this process, they will develop more derivative formulas for logarithmic, exponential, and inverse trig functions. Students will then begin some applications of the derivative that involve rates of change, and differentials. Concept Derivatives Concept Lesson Essential Questions: How do I find derivatives implicitly? How do I solve related rate problems? How do I find the derivative of logarithmic functions? How do I use a local linear approximation to approximate the value of a function? Vocabulary: dy/dx logarithm inverse exponential inverse sine inverse cosine inverse tangent inverse cotangent inverse secant inverse cosecant Concept Concept Applications of Derivatives Lesson Essential Questions: How do I find the derivative of inverse functions? Textbook Graphing calculator Flipcharts Websites How do I use differentials for error analysis? Vocabulary: Local linear approximation Differential Tangent line Secant line Lesson Essential Questions: Lesson Essential Questions: Vocabulary: Vocabulary: