Use the derivative of the function shown below to determine the open intervals in which the function is increasing or decreasing and any relative extrema, and the x-values at which the extrema occur. Increasing: Decreasing: f(x)= a) Find all the critical values for the given function. If there are not any critical values, record DNE in the answer box shown below. If there are more than one, list them separated by commas. b) Record the open intervals in which the function is increasing or decreasing. If there are more than one intervals in which a function is increasing or decreasing, use a comma to separate the intervals (e.g., (-5,7),(-3,5)). If there are no intervals, record DNE in the answer box. Be sure to use oo (two letter o's and not zeros) for infinity and -oo for negative infinity. Relative Maximum: = 3 -x² + 21x - 8 2 2 c) Record the relative maximum and minimum of the function and the x-values in which they occur. If ther are more than one, list them separated commas. If there are none, record DNE in the answer box. x-value(s) where the relative max occur: x-value(s) where the relative min occur: Relative Minimum:

Q: Find the x-value(s) where the graph does not have a derivative. The x-value(s) where the function…

A: Solution is given below:-

Q: For what values of x is the derivative of the function Vx2+ Vx equal to 1?

A: Given,           The derivative of x23+x3 equal to 1.

Q: y=2xe-4x a. find all relative extreme points. label them as a min or a max.  b. on what interval,…

A: We have to find the maxima  , interval of  function increasing , interval of  negative derivative.

Q: Provide an appropriate response. Consider this graph. a b. de x Using the graph and the intervals…

A: Here is the solution

Q: Which of the following best describes the derivative of the function at a point?

A: The derivative of a function in calculus of variable standards the sensitivity to change the output…

Q: Suppose that y is a function of x. Find y' if 2xy - = 2y + 5.

A: The function f(x) is a rule that associates or fixes a number to the particular point x. If y=f(x),…

Q: Find the x-value(s) where the graph does not have a derivative. The x-value(s) where the function…

A:

Q: Find the derivative of the function f(x,y) =x² + xy +y at the point (-6, - 5) in the direction in…

A: Given: f(x, y)=x2+xy+y2 To find: The derivative of given function in the direction in which function…

Q: Determine which graph is the derivative of the other and explain why O A. The function g is the…

A:

Q: Consider the function f (x) = x(Third digit of your ID number). Calculate the first derivative at…

A: Three point central difference formula.