# 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: CalculatorsContinued...Following FunctionsDifferentiable

## Sample Document Text

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 ...