....... Find the x-value of all points where the function below has any relative
ID: 3341442 • Letter: #
Question
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Find the x-value of all points where the function below has any relative extrema. Find the value(s) of any relative extrema. G(x) = x8 ex - 6 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. The function has a relative minimum at the point(s) . (Simplify your answer. Type an ordered pair. Use integers or decimals for any numbers in the expression. Round to two decimal places as needed. Use a comma to separate answers as needed.) The function has no relative minimum. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. The function has a relative maximum at the point(s) . (Simplify your answer. Type an ordered pair. Use integers or decimals for any numbers in the expression. Round to two decimal places as needed. Use a comma to separate answers as needed.) The function has no relative maximum.Explanation / Answer
G'(x) = x^8 . e^x + 8.x^7 . e^x = x^7.e^x (x + 8)
which is zero for x = 0,-8
Hence relative extrema at: x=0,-8
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