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About Paul Klarreich
Expertise
All topics in first-year calculus including infinite series, max-min and related rate problems. Also trigonometry and complex numbers, theory of equations, exponential and logarithmic functions. I can also try (but not guarantee) to answer questions on Analysis -- sequences, limits, continuity.

Experience
I taught all mathematics subjects from elementary algebra to differential equations at a two-year college in New York City for 25 years.

Education/Credentials
(See above.)

 
   

You are here:  Experts > Teens > Homework/Study Tips > Calculus > Graph sketching.

Calculus - Graph sketching.


Expert: Paul Klarreich - 7/1/2009

Question
I'm having a hard time figuring out this problem... X^2/1-x... trying to find the relative max and min...

Answer
Questioner:   Brandon
Country:  United States
Category:  Calculus
Private:  No
 
Subject:  Calculus 1
Question:  I'm having a hard time figuring out this problem... X^2/1-x... trying to find the relative max and min...
............................................
1. Find the first derivative. (You will need the quotient rule.)
2. Set that = 0 and solve.
3. Find the second derivative. (Takes a little work.)
4. Try each solution into the second derivative.
  -- if it comes out (+), it's a min.
  -- if it comes out (-), it's a max.

I think you will get x = 0 (min),  x = 2 (max)  

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