WeBWorK MAA Logped in a rppoz22 ATHEMATICAL A IATION OF AVERICA MAIN MENU wetwor

Question

WeBWorK MAA Logped in a rppoz22 ATHEMATICAL A IATION OF AVERICA MAIN MENU wetworkmz 123518 hw16 13 Courses HW16: Problem 13 Protiam 13 User Settng Hioblerm Let Gradcs pnly List the crtical numbers tt the talnwrg tuncian n ncreasing nrder Ente, N in ry blenk that you totI need ti use. Problem 2 Problem4 Problemv' Problem 6 Problems? Problem Premew My Answers u Subrit Arewers Froblam 11 ou have unlimied attempts remaning Emal restrucki Pieblem 14 Page geleged al 032520at 08.21pn EDT Show sli | X E O lype here to search

Explanation / Answer

f(x) = 7xe^(4x)

Find derivative using product rule as

f'(x) = 7e^(4x) (4x+1)

To find the critical number, set f'(x) =0 and then solve for x as

7e^(4x) (4x+1) =0

4x +1 =0

4x= -1

x = -1/4

Thus, we have only one critical point, hence list it as

-1/4

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