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Unformatted text preview: _ L? i {U Lil/J L3: 3 3 -"\\:\’f / 3r ' xix} "1 i Ll S31, (1“ ._, X z 3 if 3 ts . AlVIS 151.2 Applied Calculus I E 23.“; Quiz 3 l x Oct. 30, 2007 . . _ Name: A! 3‘} 93%: 2’? 32“} Ali» ID: 5 :‘ 5': , C: 9 1' Please also write both your name and ID number CLEARLY on each page of the answer sheets. In order to receive full credit, please show all work and justify your answers. 1. The point P(4, 5) lies on the curve 1/ V5443. Q is another point on the same curve, find the slope of the SECANT line PQ for the following values of m. -—-(a) (5pts) :5 : 4.1; .«fi-(b) (5pts) 1‘ = 4.01; ‘eE/(c) (lOpts) What is the slope of the TANGENT line to the curve at P(4,5)? 2. Find the derivatives of the functions. \/(a) (10pts) f(:c) : ~5x8 + 8:65 + 10 ‘u/(b) (l0pts) f(rl) = —20“ + erT' J3. Let flag) 2 £68 — 563”. (a) (lOpts) Evaluate f’(71) (b) (lOpts) Evaluate fwil) 4. (20pts) Suppose function f(:r) has derivative everywhere and the graph of its DERIVATIVE FUNCTIOV‘ flu) is shown below Y A f’ fi\ ¢ C / E W; w. 34%- For each of the four points A,B,C,D on the graph, choose the statement(s) that apply. (There might be multiple answers for each point A, 13,0, D.) I. fix) is increasing II. fix) is decreasing 3 3” III . f”(a:) is positive IV . f”(;1:) is negative 5. Find the derivatives of the functions. (a) (lOpts) fit) ; Zn4- (lnBY '4]- (b) (10pts) fa) 2W | WY j ”if '»J\’ ...
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