Given the function g(x) = 82³-24²-1922, find the first derivative, g'(x). g'(z) Notice that g'(x) = 0 when = -2, that is

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Given The Function G X 82 24 1922 Find The First Derivative G X G Z Notice That G X 0 When 2 That Is 1 (49.46 KiB) Viewed 41 times

Given the function g(x) = 82³-24²-1922, find the first derivative, g'(x). g'(z) Notice that g'(x) = 0 when = -2, that is, g'(-2) = 0. Now, we want to know whether there is a local minimum or local maximum at z = the second derivative test. Find the second derivative, g'(z). g'(x) Evaluate g''(-2). g''(-2)= ** Based on the sign of this number, does this mean the graph of g(z) is concave up or concave down at == 2? [Answer either up or down At z= 2 the graph of g(x) is concave watch your spelling!!] - Based on the concavity of g(x) at x = 2? maximum at === [Answer either minimum or maximum. watch your spelling!!] At = 2 there is a local 2, so we will use -2, does this mean that there is a local minimum or local