Question

1) Find all absolute extrema and absolute maximum and minimum values of the following function on the interval [-2,2]. $f(x) = \frac{1}{x^2 + 7}$ 2) Use your results from part 1) to get an upper bound for $\int_{-2}^{2} f(x)dx$

          1) Find all absolute extrema and absolute maximum and minimum values of the following function on the interval [-2,2].
$f(x) = \frac{1}{x^2 + 7}$
2) Use your results from part 1) to get an upper bound for
$\int_{-2}^{2} f(x)dx$
        
1) Find all absolute extrema and absolute maximum and minimum values of the following function on the interval [-2,2].
f(x) = (1)/(x^2 + 7)
2) Use your results from part 1) to get an upper bound for
∫-2^2 f(x)dx

Added by Kayla B.

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Calculus: Early Transcendentals
Calculus: Early Transcendentals
James Stewart 8th Edition
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Find all absolute extrema and absolute maximum and minimum values of the following function on the interval f(x) = 2 + 7x^2. Use your results from part 1 to get an upper bound for ∫f(x)dx.
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Transcript

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00:01 Okay, let's take derivative here.
00:14 Caution rule, right? distribute this in.
00:18 And then f prime is 2x cubed plus 2x minus 2x cubed plus 2x.
00:32 So, really what we have here is 4x over square plus 1 square.
00:44 So, 4x becomes 0 when x is 0 and then x square plus 1 never gets to be 0...
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