Extrema Definition and 153 Threads

  1. J

    What are the critical numbers for g(x) = x^2 + 2x^(2/3) on [-2,2]?

    The function is: g(x)=x^2+2x^\frac{2}{3} on [-2,2] So far I got the derivative as: g'(x)=2x+\frac{4}{3}x^{-\frac{1}{3}} Now, I am stuck at finding the critical #s. I need help.
  2. C

    Finding Relative Extrema & Points Of Inflection

    For the function below, I have to find the exact values of x for which relative extreme exist and the exact values of x for which points of inflection exist. f(x) = 1x/2 - sin(x) when x is in the interval (0,2pi) Here's what I have: f'x = 1/2 - cos(x) = 0 (I'm not sure how to solve for...
  3. I

    Finding Relative Extrema of x^2y^2 with Constraint 4x^2+y^2=8

    Please help me?? I'm having great difficulty solving this question. Find all relative extrema of x^2y^2 subject to the constraint 4x^2+y^2=8. Do this in two ways: a)Use the constraint to eliminate a variable b)Use the method of Lagrange multipliers. Your help will be greatly appreciated.
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