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Past Exam for MATH 1634 - Calculus I with Bernard at Midwestern State (MWSU)

Exam Information

Material Type:Exam 2
Professor:Bernard
Class:MATH 1634 - Calculus I
Subject:Mathematics
University:Midwestern State University
Term:Summer I 2009
Keywords:
  • Calculators
  • Continued...
  • Following Functions
  • Differentiable
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Math 1634 Calculus I June 22, 2009 Test No.2 NAME: __ ~OL.':'T;~ ________ _ (please print) Prof. Guy Bernard There are seven problems worth a total of 100 points. Calculators are allowed during this test, but you must show your calculations in all problems. No books or notes are allowed during this test. No.1 (15 pOints) Evaluate the derivatives of the following functions. You must show the details of your calculations. a) f(x) = (In x)' b) g(x) = arcsin(3x) J I _ '1-,.:."l- ."' .. , ,, *~ ~ I ("" _ ~.-) 5" ( 2-'0<- ... "3) page 2 No.2 (15 points) Find the slope of the tangent line to the curve at the point P{I,I). Hint: Do not try to solve the equation for y = y(x). Use Implicit Differention instead. \(4"", .... ,..1. , ,><~+'2."-d- = d '4 ~'t(7'1 ':t~ .,. ... '2." -b -= ";}"- -h ,+..,.. 4 2d d", d,... 5~""SI 'f _ '"2-. -+ '2-~ - '3 ~ '" ~ _ -I C!,.. "2- -I- '2-J~ = " J:t d..< d ;'<- ~- page 3 No.3 (15 points) Find ...
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