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eimsori [14]
3 years ago
6

Suppose f '(x) = xe^−x^2

Mathematics
1 answer:
iogann1982 [59]3 years ago
6 0
<h3>Answers:</h3>
  • (a) The function is increasing on the interval (0, infinity)
  • (b) The function is decreasing on the interval (-infinity, 0)

=======================================================

Explanation:

You should find that the derivative is entirely negative whenever x < 0. This suggests that the function f(x) is decreasing on this interval. So that takes care of part (b).

The interval x < 0 is the same as -infinity < x < 0 which then translates to the interval notation (-infinity, 0)

Similarly, you should find that the derivative is positive when x > 0. So the function is increasing on the interval (0, infinity)

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