{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

# mt1 - MID TERM#1 MATH 100 Wednesday October 9 2002 Student...

This preview shows pages 1–5. Sign up to view the full content.

MID TERM #1, MATH 100 Wednesday, October 9, 2002 Student No: Name (Print): There are 5 pages to this test, check to make sure it is complete. Please put your name and student number at the top of every page. Rough work should be done on the backs of the pages. You must show all your work to get full marks. Calculators and notes of any kind are not allowed. 1. [6 marks] Using only the definition of the derivative, and not the rules, find f 0 ( x ) for the function f ( x ) = x 2 + 1 . Please do not write in this space. Number Value Grade Question 1 6 Question 2 12 Question 3 8 Question 4 8 Question 5 6 Question 6 10 Total 50 1

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

View Full Document
2 Student No: Name (Print): 2. [12 marks] Find the derivatives of the following functions. Put your answers in the boxes and show your work in the spaces provided. DO NOT SIMPLIFY YOUR ANSWERS. (a) f ( x ) = ( sin 3 x + cos 3 x ) 2 . (b) f ( x ) = q 1 + x + x 2 . (c) f ( x ) = x 2 + 1 x 2 - 1 . (d) f ( x ) = ( x 2 + x + 1)( x 3 + 1) .
3 Student No: Name (Print): 3. [8 marks] (a) Determine lim θ 0 tan 2 θ θ . (b) Find the absolute maximum and minimum of the function f ( x ) = x 2 + 1 x 2 on the interval 1 2 x 3 . (c) Find all x where the derivative of y = sin x + cos x is 0 .

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

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

{[ snackBarMessage ]}

### Page1 / 5

mt1 - MID TERM#1 MATH 100 Wednesday October 9 2002 Student...

This preview shows document pages 1 - 5. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online