Find the x-value(s) of the relative maxima and relative minima

label Calculus
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Jul 15th, 2015

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g(x) = x^2 + 6x +6

g'(x) = 2x + 6

points at 2x + 6 = 0

              x = -6 /2

                 = -3

g''(x) = 2


relative minima  of g(x) = x^2 + 6x +6

 at x = - 3........................................................ANSWER

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Jul 15th, 2015

what is the maxima?

Jul 15th, 2015

since the second derivative  g''(x) = 2   is greater than 0  g(x) has  a relative minimum at x = -3

so relative minimum at

x = -3 ..............................................ANSWER

relative maxima does not exist



Jul 15th, 2015

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