Given the function g x 8x 24x 72x find the first derivative

Last updated: 3/17/2023

Given the function g x 8x 24x 72x find the first derivative g x g x Notice that g x 0 when x 3 that is g 3 0 Now we want to know whether there is a local minimum or local maximum at x 3 so we will use the second derivative test Find the second derivative g x g x Evaluate g 3 g 3 Based on the sign of this number does this mean the graph of g x is concave up or concave down at x At x 3 the graph of g x is Select an answer 3 Based on the concavity of g x at x 3 does this mean that there is a local minimum or local maximum at x 3