Given the function g(x) = 6x +54x + 90x, find the first derivative, g'(x).g'(x) =Notice...

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Given the function g(x) = 6x +54x + 90x, find the first derivative, g'(x).g'(x) =Notice that g'(x) 0 when a = 5, that is, g'(-5) = 0.Now, we want to know whether there is a local minimum or local maximum at x = -5, so we will use the second derivative test.Find the second derivative, g''(x).g''(x) =Evaluate g''(-5).g''(-5) =Based on the sign of this number, does this mean the graph of g(x) is concave up or concave down atx = -5?At x = -5 the graph of g(x) is Based on the concavity of g(x) at x =-5, does this mean that there is a local minimum or local maximumat x = -5?At x = - 5 there is a local

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