test 3 sols - Name: _ Test #3 Part I (40 points) Find the...

Info iconThis preview shows pages 1–3. Sign up to view the full content.

View Full Document Right Arrow Icon
Name: _______________________ Test #3 Part I (40 points) Find the derivative: 1. Find f ' x for f x = e x  x 2 5 3 f ' x =− e x  6 x  x 2 5 2 2. Find y' for x 2 y 2 = 1 y' =− xy 2 x 2 y =− y x 3. Find dy dx for x e y y = x 2 2 dy dx = 2 x e y xe y 1 Find the limit 4. lim x ∞ x 1 2 x ln x lim x ∞ x 1 2 x ln x = lim x ∞ 2 x 1 ln x  1 = lim x ∞ 2 1 / x =∞ 5. lim x 3 ln x 2 3 x 1 2 x 6 lim x 3 ln x 2 3 x 1 2 x 6 = lim x 3 2 x 3 x 2 3 x 1 2 = lim x 3 2 x 3 2 x 2 3 x 1 = 3 2
Background image of page 1

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

View Full DocumentRight Arrow Icon
Part II (40 points) 6. A function has the following properties: x (-∞,a) a b c d e (e,∞) f '( x ) + + + 0 und. 0 + + + f ''( x ) + 0 und. + + + 0 lim x −∞ f x = 0 and lim x ∞ f x =∞ A) List all critical points for the function
Background image of page 2
Image of page 3
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 02/28/2012 for the course MATH 160 taught by Professor Staff during the Spring '08 term at Boise State.

Page1 / 3

test 3 sols - Name: _ Test #3 Part I (40 points) Find the...

This preview shows document pages 1 - 3. Sign up to view the full document.

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