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Quiz1num2

# Quiz1num2 - tient(de±nition oF derivative and ±nd the...

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Math21a Quiz#1 Oct 23, 2007 Sec 6-7pm Print Your Name Sign Your Name You have 30 minutes. Each problem is worth 10 points. Showing as much work as possible will guarantee the most credit. Partial credit will be given 1

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1 . Find the limit lim x 16 x - 4 x - 16 2
2 . Find the slope of the function’s graph at the given point. Then find an equation for the line tangent to the graph there. f ( x ) = 3 x 2 - 2; (2 , 10) 3

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3 . Differentiate the function via the difference quo-
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Unformatted text preview: tient(de±nition oF derivative) and ±nd the slope oF the tangent line at the given value oF the independent vari-able f ( x ) = x 3-4 x at x =-2 4 4 . Find δ > 0 such that for all x satisfying 0 < | x-x | < δ the inequality | f ( x )-L | < ǫ holds, given f ( x ) = r (4 x-4) , L = 6 , x = 10 , & ǫ = 1 5...
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