Fall2009 - MATH 1241 FINAL EXAM FALL 2009 PART I...

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

View Full Document Right Arrow Icon
MATH 1241 FINAL EXAM FALL 2009 PART I (Calculators not allowed) 1. Which of the following does not represent the definition of the derivative of f ( x )? (a) lim h 0 f ( x + h ) - f ( x ) h (b) lim x a f ( x ) - f ( a ) x - a (c) lim 4 x 0 f ( x + 4 x ) - f ( x ) 4 x (d) lim 4 x 0 4 y 4 x (e) None of the above. 2. Compute d dx ± 2 e x - 7 x + 3 ln x ² (a) 2 e x + 7 x 2 + 3 x (b) 2 e x - 7 x 2 + 3 x (c) 2 e x + 7 x 2 - 3 x (d) 2 e 0 + 7 1 + 3 ln 1 (e) 2 e x - 7 + 3 x 3. Compute d dx [ x 2 tan x ] (a) 2 x sec 2 x (b) 2 x + sec 2 x (c) x 2 sec 2 x + 2 x tan x (d) x 2 sec 2 x - 2 x tan x (e) 2 x tan x - x 2 sec 2 x 1
Background image of page 1

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

View Full DocumentRight Arrow Icon
MATH 1241 FINAL EXAM Fall 2009 4. Compute d dx ± x sin x e x ² (a) x (cos x + sin x ) - sin x e x (b) x (cos x - sin x ) + sin x e x (c) x (cos x + sin x ) + sin x e x (d) x (sin x - cos x ) - sin x e x (e) x cos x + sin x e x 5. Compute d dx ³ sin ( x 3 ) - sin 3 ( x ) ´ (a) 3 sin 2 ( x ) cos ( x ) - 3 x 2 cos ( x 3 ) (b) sin (3 x 2 ) - 3 sin 2 ( x ) (c) cos ( x 3 ) - 3 sin 2 ( x ) (d) 3 x 2 cos ( x 3 ) - 3 sin 2 ( x ) cos ( x ) (e) 0 6. Compute d dx [ln (ln ( x ))] (a) 1 ln ( x ) · 1 x (b) x ln ( x ) (c) 1 ln ( x ) (d) ln µ 1 x (e) ln µ 1 x + 1 x ln x 2
Background image of page 2
MATH 1241 FINAL EXAM Fall 2009 7. Compute d dx h sin x i (a) 1 2 sin x (b) cos x (c) cos x 2 sin x (d) 1 2 cos x (e) 1 2 sin x cos x 8. Find the value of h 0 (2) where h ( x ) = x 2 f ( x ) , f (2) = 3 and f 0 (2) = - 2 . (a) - 4 (b) - 8 (c) - 20 (d) 4 (e) 20 9. Find the value of ( g h ) 0 (2) from the values in the following table. Here ( g h ) ( x ) = g ( h ( x )) and ( g h ) 0 (2) is the derivative of this composition evaluated at x = 2 . x g ( x ) h ( x ) g 0 ( x ) h 0 ( x ) 1 - 1 4 10 3 2 0 3 1 - 4 3 2 7 5 2 (a) 1 (b) - 4 (c) 3 (d) 0 (e) - 20 3
Background image of page 3

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

View Full DocumentRight Arrow Icon
MATH 1241 FINAL EXAM Fall 2009 10. At which point(s) ( x =?) is the slope of the tangent line to the graph of
Background image of page 4
Image of page 5
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 02/16/2012 for the course MATH 1241 taught by Professor Xiu during the Spring '08 term at UNC Charlotte.

Page1 / 14

Fall2009 - MATH 1241 FINAL EXAM FALL 2009 PART I...

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

View Full Document Right Arrow Icon
Ask a homework question - tutors are online