{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

1007Test3_09

# 1007Test3_09 - find F 2 Question 4[2.5 Find f x when f x x...

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

Test 3, Wednesday March 4, 2009 MATH 1007G Last Name :_________________ First Name:_______________ ID #:____________________ Total marks:36 Total time: 50 minutes No Calculators are allowed. Show your work. Question 1. Differentiate the following functions. (DO NOT simplify your results) a) [3] f x x x ( ) tan = - 2 b) [3] f x x x x ( ) ( ) / = + 3 2 3 2 c) [3.5] f x x x x e x ( ) ( )(cos ) = + - 3 Question 2. [3] At which point on the curve y e x x = + - 1 4 5 , is the tangent line parallel to the line y x - = 7 2 0 ? Question 3. [2.5] Given that F x f g x ( ) ( ( )) = , g g f f ( ) , ( ) , ( ) , ( ) , ' ' 2 1 2 3 2 2 2 3 = = = = f f f ( ) , ( ) , ( ) ' 2 1 1 5 1 7 = = = , find F ' ( ).

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.

Unformatted text preview: , find F ' ( ). 2 Question 4. [2.5] Find f x '' ( ) , when f x x x x ( ) = + +-2 3 3 4 5 4 Test 3, Wednesday March 4, 2009 MATH 1007G Question 5. Differentiate the following functions. a) [2.5] f x x ( ) ( ) = + 1 1 4 3 b) [3.5] ) (sin tan ) ( 2 x x f = c) [3] f x x ( ) arcsin( ) = -1 d) [1.5] f x x ( ) log = 7 e) [1.5] f x x ( ) = 5 6. [3.5] Differentiate f x x x ( ) cos ( ) = + 1 (Use logarithmic differentiation) 7. [3] Use implicit differentiation to find dy dx when xy y 2 3 + = cos ....
View Full Document

{[ snackBarMessage ]}

### Page1 / 2

1007Test3_09 - find F 2 Question 4[2.5 Find f x when f x 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