1007_Tut2

# 1007_Tut2 - Let f ( x ) = y = e 2 x . (a) Calculate f ( x...

This preview shows pages 1–2. Sign up to view the full content.

MATH 1007 A Tutorial #2 Oct 13, 2006 First Name: Last Name: Student No: No Calculators! 1. [3 marks] Find the absolute maximum and the absolute minimum of f ( x ) = x 3 - 6 x 2 + 9 x + 2 on the interval [ - 1 , 4]. Where does the absolute maximum occur? Where does the absolute minimum occur? Note: You must clearly demonstrate that you have checked all relevant values of f and give a sentence answer. 2. [1 marks] If f ( x ) = ( x - a )( x - b )( x - c ), show that f 0 ( x ) f ( x ) = 1 x - a + 1 x - b + 1 x - c Hint: logarithmic diﬀerentiation

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
3. [3 marks]
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Let f ( x ) = y = e 2 x . (a) Calculate f ( x ), f 00 ( x ), f 000 ( x ), f 0000 ( x ). (b) Find a general formula for f ( n ) ( x ). 4. [3 marks] Find all of the critical points of the function g ( x ) = 5 x 2 / 3 + x 5 / 3 . Note: You must clearly demonstrate that you have checked all ways of ﬁnding critical numbers, and that these numbers are in the domain of g . Give a sentence answer....
View Full Document

## This note was uploaded on 03/22/2010 for the course MATH 1007 taught by Professor Unknown during the Fall '07 term at Carleton.

### Page1 / 2

1007_Tut2 - Let f ( x ) = y = e 2 x . (a) Calculate f ( x...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online