1. Given the following function f(x) = ** - 12x + 48x2 - 64x a. Find the first derivative f'(x) = 4x9-36x2963-64 = 0 4(x

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1 Given The Following Function F X 12x 48x2 64x A Find The First Derivative F X 4x9 36x2963 64 0 4 X 1 (51.24 KiB) Viewed 20 times

1. Given the following function f(x) = ** - 12x + 48x2 - 64x a. Find the first derivative f'(x) = 4x9-36x2963-64 = 0 4(x3 - 9x2 +24-16) b. Find the Critical Values X=4 C. Complete the following table Interval Test Value Increases decreasing A decreasing Increasing 1-2y) Castex? Sign of f'(x) FSO Fizo XIF LOX FOR (Increasing or decreasing) d. Find the second derivative f"(x) = 12x272x+96 12(x2 - 6x+8) e. Find the Inflection points X=4=0 X-2=0 12.(x-4)(x-2) f. Complete the followingtable x=2 14,0) (2, o) 1-0.2 (2,4) (2,4) (400) Test Value Sign of f(x) (f"20 Fizo solo (concave upward Xдо... оры or downward) g. Plot the function, the critical points and the inflection points +4+4 +2 +2 x=4 Interval وموعه 2 (معاه - deveria Jupward 2