Question

Find the x-values of all points where the function has any relative extrema. Find the value(s) of any relative extrema. f(x) = x- 14x + 49 X-10 Select the correct choice below and, if necessary, fill in any answer boxes within your choice. and a relative minimum of at x = 1. O A. The function has a relative maximum of at x = (Use a comma to separate answers as needed.) at x = . OB. There are no relative maxima. The function has a relative minimum of (Use a comma to separate answers as needed.) at x = . O C. There are no relative minima. The function has a relative maximum of (Use a comma to separate answers as needed.) OD. There are no relative extrema.

Answer 1

MA fas= x²-148149 2-10 f'kuoro (to find coitical points) flaaila (n-10) (22-14) - (212_142+49) ao (1-1072 . - 2x²-14n-zon+140. t +140-49 zo = 922 zon tal =0 - i_13n-tnt9150 = e=(864) E-(Efter 121-7)(31-13) =0 n=7, 13 critical points f"(n) so relative minimum fa) Lo relative maximum 2²-zontal flcm T-1032

f"con- (-2² (22-28)-2 (2-2) (2²_20n +90 62-734 c - = - 2 52 D()- 251-6) - Loco) - 2566 (594 f"17) co local manimum +123)= loo(6)=22 (169-2 60+91] (13–234 - Goo - 22/2687260) 6oooo so [13-254 (11)4 f (13) so local minimum &17)= - ua astug - so 12 &(13) = 182 +49 169- : 7-10 169- 182 3 relative maximum of To at n-it relative Minimum of 1/12 at n=13 option a + @ at n-7