Question: How to solve? Given the function g(x) = 8x3 - 12x2 - 48x, find the first derivative, g'(x). g (x) Notice that g'(x) = 0

 How to solve? Given the function g(x) = 8x3 - 12x2

How to solve?

- 48x, find the first derivative, g'(x). g (x) Notice that g'(x)

Given the function g(x) = 8x3 - 12x2 - 48x, find the first derivative, g'(x). g (x) Notice that g'(x) = 0 when x = -1, that is, g'( -1) = 0. Now, we want to know whether there is a local minimum or local maximum at a = -1, so we will use the second derivative test. Find the second derivative, g"(x). g" (x) Evaluate g"(-1). g ( - 1 ) Based on the sign of this number, does this mean the graph of g(a) is concave up or concave down at x = -1 ? At x = -1 the graph of g(x) is Select an answer Based on the concavity of g(x ) at x - -1, does this mean that there is a local minimum or local maximum at a = -1? At x = -1 there is a local Select an answer C

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!