Llation: Problem 1 JNext (1 pt) Suppose that f (x) = (x + 5)(r-1 )2. (A) Find al

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Llation: Problem 1 JNext (1 pt) Suppose that f (x) = (x + 5)(r-1 )2. (A) Find all critical values of f. If there are no ertical (A) Find all critical values of f. If there are no critical values, enter -1000. If there are more than one, enter them separated by commas Critical value(s) (B) Use the second derivative test to find the r-coordinates of all local maxins of f. f there are no jocal maxima, enter-1000. f thre are morethan one,entrthem sepaurate bmmas Local maxima at T- minima of f. If there are no local minima, enter -1000. If there are more than one, enter them separated by commas (C) Use the second derivative test to find the r-coordinates of all local minima of f.it there are no local minima, enter-100, f here are Local minima at a Note: You can earn partial credit on this problem. Submit Answers Preview Answers You have attempted this problem 6 times. Your overall recorded score is 0%. You have unlimited attempts remaining. Emall Instructor

Explanation / Answer

critical values are found when we solve fdash(x) = 0

so f dash(x) = (x+5)*2(x) +(x-1)^2 *1 = 0

solve the above quadratic equation, we get x= -2.53 and x = -0.13 ------answer A

f double dash (x) = 6x+8

put x= -2.53 = > 6*-2.53+8 = -7.18 <0 => x= -2.53 is Maximum ------ANSWER b part

put x= -0.13 => 6*-0.13+8 = 7.22 >0 = > x = -0.13 is minima -----Answer c part

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