CALCULUS Sections 2.1 – 2.4 – Differentiation Assignment Number 1 2 3 4 5 6 7 8 Target Goals Relate the concept of slope with the limit definition of a derivative; understand the relationship between the graph of a function and its derivative Write equations of tangent lines and determine where a function is differentiable using interval notation Apply the power rule and trig rules for taking first derivatives Continue to apply the power rule and trig rules for taking first derivatives, write equations of tangent lines, determine values where horizontal tangent lines exist Apply first derivatives to problem solving situations Learn and apply the Product Rule and Quotient Rule to take first derivatives Continue to apply the Product Rule and Quotient Rule, also learn the remaining four trig derivative rules Review writing equations of tangent lines and determine where horizontal tangent lines occur Page; problems 103; 1 – 3, 14 – 18, 22, 39 – 42, 45 - 48 104; 25, 27, 29, 33 – 35, 83 – 87, 89 – 91(include a sketch from calculator with 89-91) Derivatives Worksheet 115; 39 – 63 “eoo”, 75, 76, 87 - 90 116; 93 – 100, 107, 108 126; 1 – 35 odd Product and Quotient Rule Worksheet Sec. 2.3 Worksheet 9 10 11 12 13 Applications of first derivatives, learn how to take 2nd and 3rd derivatives Learn and apply the Chain Rule for derivatives Continue to apply the Chain Rule for derivatives Continue to apply the Chain Rule for derivatives, write equations of tangent lines, distinguish between graphs of f(x), f ‘(x), f “(x) Review all derivative rules and concepts covered 128; 93 – 108, 111 – 114, 117, 118, 120 137; 7 – 23 odd, 45 – 57 odd Chain Rule Worksheet 138; 75 – 81 odd, 89 – 94 all, 101 – 104 all, 108 Worksheet(s) TEST on derivatives will be on __Weds. 10/14 or _Thurs., 10/15___