Question: (a) Use a graphing calculator or computer to graph the function f(x) = x4 - 3x3 - 6x2 + 7x + 30 in the viewing

(a) Use a graphing calculator or computer to graph the function f(x) = x4 - 3x3 - 6x2 + 7x + 30 in the viewing rectangle [-3, 5] by [-10, 50].
(b) Using the graph in part (a) to estimate slopes, make a rough sketch, by hand, of the graph of f'.
(c) Calculate f'(x) and use this expression, with a graphing device, to graph f'. Compare with your sketch in part (b).

Step by Step Solution

★★★★★

3.48 Rating (168 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

a b From the graph in part a it appears that f is zero a... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Document Format (1 attachment)

786-C-D-E (317).docx

120 KBs Word File

Students Have Also Explored These Related Calculus Questions!

(a) Use a graphing calculator or computer to graph the circle x 2 + y 2 = 1. On the same screen, graph several curves of the form x 2 + y = c until you find two that just touch the circle. What is...

Use a graphing calculator or computer to determine which of the given viewing rectangles produces the most appropriate graph of the function f (x) = 8x x2. (a) [ 4, 4] by [ 4, 4] (b) [ 5, 5] by [ 0,...

Use a graphing calculator or computer to reproduce the picture. 2 01 2

(a) Use a graphing calculator or computer to graph the function f(x) = x4 3x3 6x2 + 7x + 30 in the viewing rectangle [ 3, 5] by [ 10, 50]. (b) Using the graph in part (a) to estimate slopes, make a...

(188) Hw 3.1 (Homework) (188) Hw 3.2 (Homework) ' g A soft-drink vendor at a popular beach analyzes his sales records and nds that if he sells x cans of soda pop in one day, his prot {in dollars} is...

seventh pages Chapter 3 Curve Sketching How much metal would be required to make a 400-mL soup can? What is the least amount of cardboard needed to build a box that holds 3000 cm3 of cereal? The...

Please Solve Questions 43, 44, 51 and 64 42. (a) Use a graphing calculator or computer to graph the func- 51. Find the points on the curve y = 2x3 tion g(x) = ex - 3x2 in the viewing rectangle [- 1,...

33-60 multiples of 3 please! Help In Exercises 33-38, find the zeros of the function algebraically. 33. f (x) = x2+ 2x - 8 34. f(x) = 3x2+ 4x - 4 35. f(x) = 9x2 - 3x - 2 36. f(x) = x - 25x 37. f (x)...

33-60 multiples of 3 please help me! In Exercises 33-38, find the zeros of the function algebraically. 33. f(x) = x2+ 2x - 8 34. f(x) = 3x2+ 4x - 4 35. f (x) = 9x2 - 3x - 2 36. f(x) = x - 25x 37. f...

Can i get help with this calculus? Graph the equations listed in parts (a) to (d). (a) y = (x - 2)- - 4 (b) y = (x- 2)~ +2 (c) y= (x+2)~+2 (d) y = (x+ 4)- - 2 (U) VITICHI OI The 10nowIng gives wie...

dy for In(xy) = x + y dx 5. Find INTEGRAL 1. Integrate the following - 5x +1 dx a. b. x - 2x dx c. fe -+ 1 + cos 2x - 3 sinx dx d. [(sec 4x? -e-2* +2) dx e. [2x + 8x - sin? (2x +1) dx 2. Evaluate the...

On September 30, the Value Company Cash account had a normal balance of $5,000. During September, the account was debited for a total of $12,200 and credited for a total of $11,500. What was the...

5.34 What is the probability that a waitress will refuse to serve alcoholic beverages to only 2 minors if she randomly checks the IDs of 5 among 9 students, 3 of whom are minors?

Bean seeds from supplier A have an 85% germination rate and those from supplier B have a 75% germination rate. A seed company purchases 40% of their bean seeds from supplier A and the remaining 60%...

Differentiate the function. g(x) = ln(xe -2x )

Differentiate the function. g(t) = 1 + ln t

Differentiate the function. F(t) = (ln t) 2 sin t

What amount would be paid for an investment that pays $25,000 at the end of each year for the next twenty years? Assume that the relevant interest rate for this type of investment is 12%....

Suppose that weekly household expenditures on petrol are normally distributed, with a mean of $120 and a standard deviation of $50. i. A family is randomly selected. Find the probability that this...

You are providing fourth quarter investment recommendations for key US-based clients, and have prepared the market information contained in the table below. Level of NASDAQ 100 Index 1223.14 Level of...