Question Analyze the following graph of f'(x). Select all of the intervals over which f(x) is concave down. Select all that apply: □ (-∞, -1) □ (-1,0) ☐ (0,1) □ (1,00) -6 -1 3 0 0 2

Sketch the graph of y=(x^2 +x +3)/x^2, locate all maximum and minimum values, intervals of increase and decrease, and inflection points. HINT: Input your function in to maple. Plot your function using the maple plot command. Find the first and second derivatives of your original functions. Solve the first derivative for x in order to find possible min and max. Be sure to do the second derivative test to confirm min/max by subs critical numbers into the second derivative. Don’t forget to subs these critical numbers into the original function in order to find the co-ordinates of min/max.

Describe geometrically when a function typically does not have a derivative at a point.

Explain how the first derivative of a function determines where the function is increasing and decreasing.

The revenue (in billions of dollars) from artificial intelligence for enterprise applications in a country for the years from 2016 through 2027 can be modeled by y = 0.872x'./62 where x is the number of years after 2015. (a) Graph the function for the years from 2015 through 2032. (b) Is the function increasing or decreasing over this period of time? (c) Is the graph concave up or down? (d) What is the revenue in 2035?

Please solve, for all steps thanks!!!

Find the function of the derivative f'(x)= -12x+5 and with the graph passing through (-2,5)

Sketch the graph of a function y = x". x*.

The graph above shows the graph of f'(x), the derivative of a function f(x). It is known that f"(-8) = 0 and f"(1.3) = 0. (a) Determine the value(s) of x for which f(x) has a relative minimum. Ilustify. (b) Determine the value(s) of x for which f(x) is increasing. Justify. (c) Determine the value(s) of x for which f(x) is concave down. Justify. (d) Is the value of r(0)-r(-5) 0-(-5) positive or negative? Use the Mean Value Theorem to justify.