By Patrick Jones
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Extra resources for 1,001 Calculus Practice Problems for Dummies
Simply proceed as you normally would on a similar example. Many people make the mistake of using the product rule when they should be using the chain rule. Stop and examine the function before jumping in and taking the derivative. Make sure you recognize whether the question involves a product or a composition (in which case you must use the chain rule). Rewriting the function by adding parentheses or brackets may be helpful, especially on problems that involve using the chain rule multiple times.
Find the limit: Evaluating Trigonometric Limits 199–206 Evaluate the given trigonometric limit. Recall that and that . 199. 200. 201. 202. 203. 204. 205. 206. Infinite Limits 207–211 Find the indicated limit using the given graph. 207. 208. 209. 210. 211. 212−231 Find the indicated limit. 212. 213. 214. 215. 216. 217. 218. 219. 220. 221. 222. 223. 224. 225. 226. 227. 228. 229. 230. 231. Limits from Graphs 232–235 Find the indicated limit using the given graph. 232. 233. 234. 235. Limits at Infinity 236–247 Find the indicated limit.
X8 + 12x4 + 35 = 0 46. x4 + 3x2 – 4 = 0 47. x4 – 81 = 0 Absolute Value Equations 48–51 Solve the given absolute value equation. 48. 49. 50. 51. Solving Rational Equations 52–55 Solve the given rational equation. 52. 53. 54. 55. Polynomial and Rational Inequalities 56–59 Solve the given polynomial or rational inequality. 56. x2 – 4x – 32 < 0 57. 2 x4 + 2x3 ≥ 12x2 58. 59. Absolute Value Inequalities 60–62 Solve the absolute value inequality. 60. 61. 62. Graphing Common Functions 63–77 Solve the given question related to graphing common functions.