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This collection of solved problems covers elementary and intermediate calculus, and much of advanced calculus. We have aimed at presenting the broadest range of problems that you are likely to encounter—the old chestnuts, all the current standard types, and some not so standard. Each chapter begins with very elementary problems.
Calculus Workbook 3 Math 161 – Review Examples Example 1. Let f(x) = x x +1. (a) Solve f 1 x = 2 for x. (b) Simplify f 1 x. Example 2. (a) Let f(x) = x2. Calculate and simplify the expression f(x+h) −f(x) h, given that h 6= 0 . (b) Repeat part (a), but this time let f(x) = 1 x +1. Example 3.
for students who are taking a di erential calculus course at Simon Fraser University. The Collection contains problems given at Math 151 - Calculus I and Math 150 - Calculus I With Review nal exams in the period 2000-2009.
Worksheet # 12: Higher Derivatives and Trigonometric Functions 1. Calculate the indicated derivative: (a) f(4)(1); f(x) = x4 (b) g(3)(5); g(x) = 2x2 x+ 4 (c) h(3)(t); h(t) = 4et t3 (d) s(2)(w); s(w) = p wew 2. Calculate the rst three derivatives of f(x) = xexand use these to guess a general formula for f(n)(x), the n-th derivative of f. 3. Let ...
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This booklet contains the worksheets for Math 1B, U.C. Berkeley’s second semester calculus course. The introduction of each worksheet briefly motivates the main ideas but is not intended as a substitute for the textbook or lectures. The questions emphasize qualitative issues and the problems are more computationally intensive.
