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About Scotto
Expertise
Any kind of mathematics (algebra, geometry, trigonometry, calculus, probability, statistics, etc.). I also have answered some questions in Physics, Chemistry, and Biology. I would like to volunteer in all areas of Mathematics, not just calculus, and the other three courses that were mentioned.

Experience
Experience in the area: I have tutored students in all areas of mathematics for over 20 years. Education/Credentials: BSand MS in Mathematics from Oregon State University, where I completed sophomore course in Physics and Chemistry. Awards and Honors: I have passed Actuarial tests 100, 110, and 135.
 
   

You are here:  Experts > Teens > Homework/Study Tips > Calculus > Optimizing Functions

Topic: Calculus



Expert: Scotto
Date: 5/12/2008
Subject: Optimizing Functions

Question
Hi! I just wanted to know some easy steps to optimizing functions. I have a Calculus final in two days, and this is the only thing that is difficult for me.

Answer
To optimize a problem, set the derivative, f'(x), equal to 0 and solve for x, giving x0.

If the second derivative, f"(x0), is negative at this value, then the point is a maximum value for local x in f(x).

If the second derivative, f"(x0), is positive at this value, then the point is a minimum value for local x in f(x).

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