Analyzing a graph in exercise, analyze and sketch the graph of the function. lable any relative extrema, points of inflection, and asymptotes. see example 6.
y = x^2 ln x/4

Analyzed and Sketched.

Step-by-step explanation:

We are given .

For sketching graph, we need to determine the following.

1) First derivative of y with respect to x to determine the interval where function increases and decreases.

2) Second derivative of y with respect to x to determine the interval where function is concave up and concave down.

is absolute minimum.

is point where concavity changes from down to up.

Since it is logarithmic function, the graph covers right side of the x-axis and it cannot take the value pair (0,0)

The sketch is in attachment.

point a is the center of the circle that passes through points e, f, and g and the center of the circle that passes through points x, y, and z.

explanation:

previous steps have made pa≅ pb ≅ st ≅ su. setting the compass width to ab allows you to make tu the same length. then δstu ≅ δpab by the sss congruence postulate, and ∠p ≅ ∠s by the reason cpctc.