Do we have local maximum/minimum here? If yes, find them.

Consider the function and fill in the spaces below.  By the First derivative test, the function has:a local maximum at the point Answer 1 Question 7, Answer 2 Question 7 and a local minimum at the point

Consider the polynomial function g(x) = 2x^4 - 5x^3 + 3x^2 - 2x + 1.a.It has a local minima at 1.65b.It has a local maxima at 1.65c.It has no maxima or minimad.It has no critical points

(b) Locate any relative extreme points. (If an answer does not exist, enter DNE.) relative maximum (x, y) = relative minimum (x, y) =

Use the graph to determine the open intervals over which  is increasing, decreasing, or constant, then determine all the local minimum and maximum values on the graph.a.)Increasing on Decreasing on Local minimum is 1 at Local maximum is -1 at b.)Increasing on Decreasing on Local minimum is 2 at Local maximum is 6 at c.)Increasing on Decreasing on Local minimum is 1 at Local maximum is -1 at d.)Increasing on Decreasing on Local minimum is 2 at Local maximum is 6 at

Estimate the input value(s) where the function has a relative extreme point. Identify each relative extreme as a maximum or minimum, and indicate whether the derivative of the function at that point is zero or does not exist.input value maximumor minimum? derivativex = (smaller value) x = (larger value)