MATH 157 Lecture Notes - Solution Process

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MATH 157 Full Course Notes
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MATH 157 Full Course Notes
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Instructor questions accompanying paper assignment # 4 solution. Directions: print double sided, write your solutions to both questions directly on this page, place immediately after cover page and staple together! Marks: an answer without a detailed solution process will be awarded zero marks! Q1: use the four-step process to nd f(cid:48)(5) if: f(x) = 4 x 3. Compute f(5 + h) = 4(cid:112)(5 + h) 3 = 4. The difference f(5 + h) f(5) = 4. The quotient h + 2. h + 2 4 f(5 + h) f(5) h. Compute f(cid:48)(5) = lim h 0 f(5 + h) f(5) h. 4(cid:0) h(cid:0) h + 2 h + 2 + 2(cid:1) = h + 2 + (cid:0) h + 2 + h + 2 + Compute f(5 + h) =(cid:112)4(5 + h) 3 = The difference f(5 + h) f(5) = 4h + 17 + h(cid:0) (4h + 17 17) (cid:0) .

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