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Calculus I

by: Braeden Lind

Calculus I MA 141

Braeden Lind
GPA 3.93


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Class Notes
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This 12 page Class Notes was uploaded by Braeden Lind on Thursday October 15, 2015. The Class Notes belongs to MA 141 at North Carolina State University taught by Staff in Fall. Since its upload, it has received 47 views. For similar materials see /class/223729/ma-141-north-carolina-state-university in Mathematics (M) at North Carolina State University.

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Date Created: 10/15/15
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s e704 I39 I 40 80 AX AA BxaB Ana a3 4sz hhs Aggro 7 AtB AA 33 1 3 23 343 gt Lugg 5 81 I t q 4 39 50 H q ConHAM Mk Pow F l39ru EX am Review SoIMHoN gt I A n c S l x Li q A x 39 x x x39amp 4 H a lxal XCI 39 0 0 J 1n2ampl Inlzalj C L LT39jnIE lJrc 3 a 39 ID x Z 7 Ax m 45 0L 1amp su sf u un 9 am 4m SALSIquotW A L CHLL but Work lg n xl f la axlx J 3i LVW 0094 3 3L 71 VIM a 7 H 3 34 l 3 I ax i d Lb 39fC 39 MA 141 002 REVIEW SHEET FOR TEST 2 Take the practice test at www4ncsuedulaku1tz141html Ignore the Extra Credit 28 The Derivative as a Function Know the de nition of a derivative box 2 on p 155 You will be asked to write this down precisely Make sure you can use the de nition to nd the derivative of various functions p 166 19 23 25 amp httpwww4ncsueduNlakurtzDe niti0nDerivativeWSpdf Find where a function is not differentiable p 167 31 34 29 What Does 1 say about 139 Be able to look at a graph of f and tell whether f X f Xgt0 or not Be able to look at a graph of f and tell whether fX is increasingdecreasing and if f Xgt0 or not Examples p 173 1311 31 Derivatives of Polynomials and Exponential Functions p 191 357913 32 The Product and Quotient Rules p 198 371121 34 Derivatives of Trigonometric Functions Know the chart on p 216 Be able to nd the derivatives of tan sec csc cot using the quotient rule 35 The Chain Rule p 228 719 23 27 41 43 36 Implicit Differentiation Be able to nd an equation ofatangent line eX p 238 15 17 19 p 238 1 51113 37 Derivatives of Logarithmic Functions p 245 35 Be able to use logarithmic differentiation eX p 246 27 31 33 35 MISCELLANEOUS PROBLEMS p 255 Concept Check 12 COMMON MATH KNOWLEDGE TO KNOW FOR THE TEST sin cos of 0 pi2 pi 2pi etc Sin2XCOSZXl MA 141 Test 3 Review Sheet Test 3 covers 3846 Section 38 Linear Approximations This WILL be on your test 0 Know the linear approximation of f at a p248 0 Examples p 252 5 6 15 17 Section 41 Related Rates 0 Try both of the related rates worksheets 0 Examples p267 ll 13 25 Section 42 Maximum and Minimum Values 0 Examples p 275 3 4 37 Section 43 Derivatives and the Shapes of Curves 0 You should be able to find the domain of a given function find its intervals of increasedecrease find its maxsmins where it is concave updown its in ection points and be able to draw it 0 Examples p 287 19 23 29 30 Section 45 Indeterminate Forms and L Hospital s Rule 0 Be able to find limits of indeterminate products powers etc 0 Before using L Hospital s Rule you will need to verify that it applies 0 Examples p 303 5911 25 35 37 Section 46 Optimization Problems 0 Examples p 311 9 l2 and problems we worked in class


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