This preview shows pages 1–3. Sign up to view the full content.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: 3 , where x = t 2 and y = 12 t . Find dz/dt in the following two ways. A. Express z explicitly as a function of t and dierentiate. B. Use the Chain Rule for partial derivatives, expressing your answer as a function of t . 1 Problem 6 . 40 pts. Consider the function f ( x, y ) = x + xy 2 . A. Find the directional derivative of f at the point P (1 , 2) in the direction of the vector3 i + 4 j . B. In what direction should you go from P to get the greatest rate of change in f ? What is this maximum rate of change? 2 EXAM Exam 1 Math 235002, Spring 2008 Feb. 20, 2008 Write all of your answers on separate sheets of paper. You can keep the exam questions when you leave. You may leave when nished. You must show enough work to justify your answers. Unless otherwise instructed, give exact answers, not approximations (e.g., 2, not 1 . 414). This exam has 6 problems. There are 240 points total . Good luck!...
View
Full
Document
This note was uploaded on 02/16/2010 for the course MATH 2350 taught by Professor Cakmak during the Spring '09 term at Texas Tech.
 Spring '09
 CAKMAK
 Calculus, Angles

Click to edit the document details