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Expert: - 1/16/2006


Question
Find absolute max. and min
F(x) = x^ -2x =+3  [0,5]

Answer
Hi, Jordan,

In your question:

Find absolute max. and min
F(x) = x^ -2x =+3 [0,5]

I think you mistyped something.  Please check and resubmit it.  OR, use the standard process for these:

1. Find F'(x).
2. Set F'(x) = 0 and solve.  Any solutions of this equation that are within the specified interval become 'candidates'.
3. Add the left and right endpoints to the list of candidates.
4. Compute F(x) for every candidate.
5. Pick the highest and lowest values.  

Calculus

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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.

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

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(See above.)

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