Given the function g(x) = 6x + 45x + 72x, find the first derivative, g'(x)...
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Given the function g(x) = 6x + 45x + 72x, find the first derivative, g'(x) = 0 when a = 4, that is, g'(-4) = 0.Now, we want to know whether there is a local minimum or local maximum at z = 4, so we will use the second derivative test.Find the second derivative, g''(x).g''(x) =Evaluate g''(-4).g''(-4)=Based on the sign of this number, does this mean the graph of g(x) is concave up or concave down at a = - 4?At = - 4 the graph of g(x) is concaveBased on the concavity of g(x) at x =At z = - 4 there is a local
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