Math121SampleQuiz4Sols

# Math121SampleQuiz4Sols - QUIZ #4 (SAMPLE SOLUTIONS) USE A...

This preview shows pages 1–4. Sign up to view the full content.

QUIZ #4 (SAMPLE SOLUTIONS) USE A SCIENTIFIC CALCULATOR! 1) Find the derivatives. Simplify where possible. (19 points total) a) Dx x ln 3 4 5 + () È Î Í ˘ ˚ ˙ (7 points) Method 1 =+ [] =◊ + ◊+ = + = x x x x 45 4 1 5 5 3 3 3 3 2 ln (Using Power Rule for Logs) 67 48 4 12 5 2 3 x x Method 2 = + = + ( ) = + + = + 1 5 5 1 5 3 12 5 5 3 4 3 4 3 4 3 3 2 23 3 3 4 x x xx x x 12 5 2 3 x x b) De x 3 4 2 + (4 points) + + + ++ 34 42 2 eD x x x 38 1 o r 2 4 3 44 22 ex e x

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

View Full Document
c) Dxe x x 26 () (6 points) = [] + [] () = + [ ] =+ Dx e x De xe x e x x x x xx 2 6 62 6 (Product Rule) 6 xe x e d) De x 8 (2 points) = 0 (Hey, we're differentiating a constant….) 2) If fx x x = ln , find ¢ fe . Do not approximate. (8 points) ¢ () = () + =[] [ ] + È Î Í ˘ ˚ ˙ ¢ = fx Dx x xD x x x e ln ln ln ln ln (Product Rule) 1 1 1 1 11 2 3) Find the integrals. Simplify wherever possible. (33 points total) a) 41 0 7 3 d x -+ Ú (6 points) = Ê Ë Á ˆ ¯ ˜ - Ê Ë Á ˆ ¯ ˜ ++ =- + + 4 4 10 2 7 42 xC xxx C 57 Note: You could have used "Integrating-at-Sight" for the first term. b) x x dx 4 4 3 + Ê Ë Á ˆ ¯ ˜ Ú (7 points) - Ê Ë Á ˆ ¯ ˜ + + - - - Ú d x C 14 4 54 3 3 3 3 / / / 4 5 5/4 3 xxC
c) xd x + () Ú 3 2 (7 points) =+ + Ê

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.

## This note was uploaded on 09/08/2011 for the course MATH 121 taught by Professor Staff during the Spring '11 term at Mesa CC.

### Page1 / 6

Math121SampleQuiz4Sols - QUIZ #4 (SAMPLE SOLUTIONS) USE A...

This preview shows document pages 1 - 4. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online