UNIT 3: Derivative Rules Unit 3: Assignment Sheet Chart of ALL Derivative Rules Blank Student Notes Ch 3 ........................................................................................................... NOTES 3.1-3.5 ........................................................................................................................................................... NOTES 3.6-3.10 & Deriv of Inverse Fn Thm ............................................................................................................................................................ NOTES Thms: IVT, EVT, MVT practice & apply Answer Keys to Student Notes .................................................................................................... ANS 3.1 power rule notes, ANS 3.2 exponential notes, ANS 3.3 product & quotient notes, ANS 3.4 chain rule notes, ANS 3.5 trig rules, ANS deriv with tables, ANS 3.6 deriv of inverse, ANS 3.7 deriv arcsin & arctan and ln, ANS 3.9 Tangent Line Approx, ANS 3.10 MVT, ANS Thm Practice & Apply WEEK #12: 6 - 10 November 2017 ************************************************************************ WEEK #12 ******** FILES ******************************************************************************************************* FILES *********** Student Notes: Tables & Derivatives & Derivatives of arctan(x), arcsin(x), ln(x)Functions CH 3 Unit Review: sections 3.1-3.6 ....................................... (save for later FRQ#13-14 and notes pp 4-8 Inverse Function Theorem) HOMEWORK **************************************************************************************** HOMEWORK ********** Day 50 Monday - 6 November 2017 ---------------------------------------------------------------------------------- Worksheet : Derivative & Tables p1-2 ....................................................... ANSWERS Derivative with Tables & AROC IROC calculations DAY 51 Tuesday - 7 November 2017----------------------------------------------------------------------------------- Unit 3 Multiple Choice Review #1-17 .................................................................................................................. ANSWERS MC & FRQ Review NOTE: MC answers are provided so you must show your work demonstrating how you arrive at the correct answer choice. DAY 52 Wednesday - 8 November 2017 ------------------------------------------------------------------------------- Unit 3 Free Response Questions #1-12 ...................................................................................................................................................................... NOTE: Make beautiful work! Organize your written work to communicate the process which leads to your solution. DAY 53 Thursday - 9 November 2017 --------------------------------------------------------- TEST Unit 3 Derivative Rules DAY 54 Friday - 10 November 2017 ----------------------------------------------------------------------------- UNIT 4 Go to Unit 4 PAGE LEARNING TARGETS *************************************************************************** LEARNING TARGETS ********** Day 50: I can find the derivatives of function and use tables to evaluate. Day 51: I can find derivatives of all functions using the power rule, exponential rule, product rule, quotient rule, chain rule, trig rules, logarithmic and natural logarithmic rules, and inverse trig rules for sine and tangent. Day 52: I can find the derivatives of functions using the rules. I can read critically to answer FRQs and clearly communicate my answer by showing necessary mathematical work. Day 53: I can successfully demonstrate my knowledge of derivative rules on the Unit 3 Test.
WEEK #11: 31 October-3 November 2017 ******************* 2nd Quarter Begins *************************** WEEK #11 ******** FILES ******************************************************************************************************* FILES *********** Student Notes: 3.1 -3.6 Derivatives Rules (Tables), Implicit Differentiation & Inverse Functions VIDEO*****************************************************************************************************VIDEO************ See ABOUT page for Video on Chain Rule class notes ............................................................................................. posted 3 Nov 2017 8 am See ABOUT page for Video on Derivatives of Inverse Functions class notes ....................................................... posted 3 Nov 2017 7 pm HOMEWORK **************************************************************************************** HOMEWORK ********** Day 46 Tuesday - 31 October 2017 ------------------------------------------------------------ NOTES §3.4 The Chain Rule Finish Chain Rule notes & practice with all derivative rules (power, product, quotient, exponential, chain) TEXT Practice & Review all the Rules *Simplify after differentiating **Rewrite before differentiating pp 180-182: # 3*, 14, 29, 41*, 43, 65**, 72, 79, 80, 95.................................................................................... ANSWERS HW §3.1-3.4 Day 46 Day 47 Wednesday - 1 November 2017 -------------------------------------------------------------NOTES §3.5 Trig Rules TEXT §3.5 pp 153-154: #2,3,6,7,10,11,18,19,24,36,38,42,45,54,60 ...................................................................... ANSWERS HW §3.5 Day 47 Day 48 Thursday - 2 November 2017 ------------------------------------------------------ NOTES §3.6 Inverse Functions TEXT §3.6 p 159: #3,5,7,17,19,21,28,32,41,45........................................................................................................... ANSWERS §3.6 HW Day 48 Day 49 Friday - 3 November 2017 ------------------------------------------------------------------------------------ TEXT §3.6 p 159: #2,6,8,10,22-26,30,31,37,39 ..................................................................................................... ANSWERS §3.6 HW Day 49 LEARNING TARGETS *************************************************************************** LEARNING TARGETS ********** Day 46: I can find the derivative of sin(x) & cos(x) graphically. I can use the chain rule to find derivatives of composite functions. I can find the second derivative and determine if a tangent line will fall above or below the function graph. Day 47: I know the derivatives rules for the six trig functions: sin(x),cos(x), tan(x), cot(x), sec(x), csc(x). I can find the derivative of trig functions that involve the product rule, quotient rule, and chain rule. Day 48: I know the derivative rules for the inverse functions: arctan(x), arcsin(x), and ln(x). Day 49: I know the derivatives of all functions and any composition of functions requiring the chain rule.
WEEK #10: 23-26 October 2017 ************************************************************************* WEEK #10 ******** FILES ****************************************************************************************************** FILES *********** Chain Rule Examples HOMEWORK **************************************************************************************** HOMEWORK ********** Day 42: Monday - 23 October 2017 -------------------------------------------------- NOTES §3.3 Product & Quotient Rules TEXT §3.3 pp 139-140: #3, 6, 30, 31, 52 (a-b).................................................................................................. ANSWERS HW §3.3 Day 42-43 Prepare for BONUS QUIZ on Ch 2 TEST questions. Bonus Quiz will be available to students who have a cumulative grade in the course of C or below OR who earned a score of C or below on the Ch 2 Test. BONUS QUIZ is only available to students Tuesday or Wednesday or Thursday at LUNCH. Day 43: Tuesday - 24 October 2017 ------------------------------------------------------------------------------------- More Product and Quotient Rule TEXT §3.3 pp 139-140: #9-27, (multiples of 3), 32, 52 (c)........................................................................................................................................ Day 44: Wednesday - 25 October 2017 ----------------------------------------------------------------------------------- TEXT Review Rules: pp 180-181 # 1,4*,10,24 get LCD, 50,58,59,68* ........................................................ ANSWERS HW §3.1-3.4 Day 44 * indicates to simplify after differentiating To prepare for your Derivative Rules Quiz: Be sure Assignments for 3.1 through 3.4 are in really good shape and you are confident you can find the derivative for any function from these assignments. Day 45: Thursday - 26 October 2017 ----------------------------------------------------------- NOTES §3.4 The Chain Rule TEXT §3.4 pp 146-147: #3-11 odd, 21, 28, 33, 36, 41, 45, 57, 58, 71........................................................................ ANSWERS HW §3.4 Day 45 LEARNING TARGETS **************************************************************************** LEARNING TARGETS ********** Day 43: I can identify a function as the product of two functions and use the product rule to find the derivative. I can identify a function as the quotient of two functions and use the quotient rule to find the derivative. Day 44: I can identify a function as the composition of two functions an outer function and an inner function and use the chain rule to find the derivative. Day 44: Clean Up Day: I can find the derivative using the power, exponential, product, & quotient rules Day 45: I can use the chain rule to find the derivative of a composite function, identifying the inner function and the outer function. I can demonstrate that I know the RULES for taking derivatives on my first Derivative Rules Quiz.
WEEK #9: 16-20 October 2017 *************************************************************************** WEEK #9 ******** FILES *********************************************************************************************************************** Practice for Ch 2 Test Notes Sections 3.1 through 3.5 HOMEWORK *************************************************************************************** HOMEWORK ********** Day 38: Monday - 16 October 2017 Finish all Ch 2 HW. Be sure to label each assignment with the DAY # for easy reference. Organize for efficient HW check on Wednesday while you are taking the test HW tonight: WS of Practice Questions for Test............................................................................................. ANSWERS: Practice Ch 2 Test Day 39: Tuesday - 17 October 2017 ----------------------------------------------------------- NOTES §3.1 The Power Rule Wednesday - 18 October 2017 ---------------------------------------------------------------- TEST CH 2 The Derivative TEXT §3.1 pp 129-130: #3-5, 6-36 (multiples of 3), 23, 25 ............................................................................... ANSWERS HW §3.1 Day 39 Day 40: Thursday - 19 October 2017 ------------------------------------------------------------------ §3.1 The Power Rule TEXT §3.1 pp 129-130: #38-49 even, 56, 58, 62, 68, 83-90 ............................................................................. ANSWERS HW §3.1 Day 40 Day 41: Friday 20 - October 2017 ------------------------------------------------------------ NOTES §3.2 Exponential Rule TEXT §3.2 pp 135-136: #3-24 (multiples of 3), 38, 39, 42, 43, 45...................................................................... ANSWERS HW §3.2 Day 41 LEARNING TARGETS ************************************************************************** LEARNING TARGETS ********* Day 38: I know how to justify that a function is continuous and describe the types of discontinuities:removable discontinuity, infinite discontinuity or jump discontinuity. I know how to explain why a graph is differentiable (function is continuous and the left-hand slope = right-hand slope) or non-differentiable (at discontinuities, vertical tangents or sharp corners) Day 39: I can use the power rule to find the derivative of y=ax^n. If necessary, I can re-write f(x) to be the sum or difference of expressions that look like ax^n before I differentiate. Day 40: CH 2 TEST The Derivative Day 41: I can use the power rule to find the derivative of ax^n. I can re-write f(x) in the form of ax^n so I can use the epower rule Day 42: I can use the power rule for any real exponent whether positive or negative, integer, rational or irrational.