Determine the critical points of given function

Reference no: EM131007932

Use the definition of the derivative to find f'(x) if f(x) = 3x² - 12x + 8 For f(x) = 12+ 2x² -x⁴. Determine the, following.

a. Critical points of f.

b. Intervals where f is increasing/decreasing.

c. Local maximum and minimum values of f

d. Intervals where y = f(x) is concave upward and concave downward.

e. Inflection point(s).

f Sketch the graph of y = f(x).

Reference no: EM131007932

Questions Cloud

Relationship to healthcare organizations : Identify external competitive forces in relationship to healthcare organizations. Why is it important to know what external competitive forces are or who they are? Relate external competitive forces to a strategic plan.

Find the points on the given graph : Find the points on the graph of y = x3/2 -x1/2 at which the tangent line is parallel to y -x = 3. Use the general power rule to find f'(x) if f(x) = (4x2 + 6x+ 8)-3 and f(x)=3√(x+1)/(x+2).

Determine the station speed of the company : Determine the station speed of the company's assembly line assuming that it is set for the operator whose pace is 85% of average (Z value for 85% or 15%=1.04 or, -1.04). Suppose the assembly line is decoupled and the line could be set for an avera..

How is mobile banking changing consumer behavior : How is mobile banking changing consumer behavior? What are the implications of this changing behavior on the future of banking

Determine the critical points of given function : Determine the Critical points of f, intervals where f is increasing/decreasing, local maximum and minimum values of f, intervals where y = f(x) is concave upward and concave downward and Inflection point(s).

What is one important point associated with negotiations : Please answer the following questions- What is one important point associated with negotiations? What are some rules of thumb associated with meeting and greeting

Display the information in the table in a bar graph : Describe the qualitative variable summarized in the table. Give the categories associated with the variable. Are the numbers in the table frequencies or relative frequencies?

At what rate is the volume changing at the given instant : At a certain instant the volume is 60 in3, the pressure is 20 lb/in2 and the pressure is decreasing at a rate of 2 1b/in2 every minute. At what rate is the volume changing at this instant?

Construct and interpret a graph that will aid archaeologists : The next table describes the collection of 837 pottery pieces uncovered in a particular layer at the excavation site. Construct and interpret a graph that will aid the archaeologists in understanding the distribution of the pottery types found at ..

User Account

All Pages