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Unformatted text preview: MAT 221 Section 3 Midterm Examination I
October 12 , 2007 Name:
Recitation #: The following Examination has 5 problen‘is. Each problem
is worth 10 points. Please read the exam carefully and check
all your answers. Show all your Work. write Clearly? and
justify your steps (but be brief 1. Calculate the derivatives
' 9
(a) :
iC‘Oﬁm) __ (if 1+3"; . (C) ﬁsinkosm» H {E + 35111<x3 ;
(I: [72711120 3. Where does the tangent hne to the graph of Si11($) at the
point ( intersect the xaxis? First ﬁnd the equation
Of the tangent line at the given point using the point Slope
form. 4. Sketch the graph of the derivative of the function pic
tured below. You should indicate Where your graph passes
through the X—‘dXiS: Where it is positive, and where it, is negative. 5. Find positive number 6 such that for any a: satisfying
0 < ’33 — £130! '< 6 also satisﬁes \Vhere Draw the graph of the function to ﬁnd 6. ...
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This note was uploaded on 08/08/2008 for the course MATH 221 taught by Professor Denissou during the Summer '07 term at University of Wisconsin.
 Summer '07
 Denissou
 Calculus, Geometry

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