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Math Help - Finding Stationary point(s)

  1. #1
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    Finding Stationary point(s)

    Given: Q(x) = 4x^2 + 20x + 25 / e^x

    a) Find the stationary point(s) of Q(x) and give the functional value of the point(s).
    b) For each stationery point, indicate whether it is a local minimum or local
    maximum and explain why.

    I know how to do this problem and find the points, but i don't know how to deal with e^x
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  2. #2
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    First of all, is this

    \displaystyle{Q(x) = 4x^2 + 20x + \frac{25}{e^x}}

    or

    \displaystyle{Q(x) = \frac{4x^2 + 20x + 25}{e^x}}?
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  3. #3
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    The second one sorry
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    If  f(x) = \frac{(2 x+5)^2}{e^x}}, then
    f'(x) = -\frac{(2x+1)(2x +5)}{e^x}}.
    For the stationary points, we must have:
    (2x+1)(2x+5) = 0 \Rightarrow x = -\frac{1}{2}, -\frac{5}{2}.
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