Math 151-01                                                                                Name: KEY

Quiz 6

Your answers must be fully backed up by the appropriate work.

  1. Let $xy=x^{3}+y^{5}-1$ define a curve in space. Find MATH at the point where $x=0.$

  2. Differentiating once with respect to x:
    MATH
    Differentiating a second time with respect to x:
    MATH

    MATH

    MATH

    MATH

    MATH
     

  3. Find the absolute maximum value and absolute minimum value of the function $f(x)=x^{2}+x-1$ on the interval MATH

  4. MATH

    MATH

    MATH

    MATH
     

  5. Find the location of all local maxima and local minima of the function MATH

  6. MATH

    MATH

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