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Thank you Find the x-value of all points where the function below has any relati

ID: 2828359 • Letter: T

Question

Thank you

Find the x-value of all points where the function below has any relative extreme. Find the value(s) of any relative extreme. G(x) = x6 ex-2 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.

Explanation / Answer

G ' (x) = x^6e^x + 6x^5e^x

= x^5e^x (x+1)

G ' (x) = 0 means

x=-1 and 0

so it has relative minimum at x=-1 and 0 since G "(x) will be positive at both points so 0 and -1 will be as relative minimums

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