Question: Given the function f(x)= x3+3x2-24x +12 over the interval-8 < x <4, answer the following questions.Find f'(x) and f(x).Find the critical points of f.Find any

Given the function f(x)= x3+3x2-24x +12 over the interval-8< x <4, answer the following questions.Find f'(x) and f"(x).Find the critical points of f.Find any inflection points of f.Evaluate fat its critical points and at the endpoints of the given interval. Identify local and global maxima and minima of f in the interval.

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

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

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

2. Given the function f (x) = -3(x - 1)2 + 2 : a) Determine the equation of the inverse of the f (x)

5. Given the function f (x) = 3x3 (12 points total): would 've us a. Determine the first and second derivatives and plug in b. Determine the intervals over which f(x) is increasing and decreasing C....

need the answer for this work sheet AutoSave . Off) H ASN_A7 - Compatibility Mode - Word O Search ezzat mal File Home Insert Draw Design Layout References Mailings Review View Help Share Comments X...

Tangent Line and Applying Derivative of a function l'lvvuuu 1 11) What is the slope of the line that touches a curve at one point? A. Derivative B. Limit ' C. Normal D. Tangent - 12) What tells the...

8. Given the function f (x) = (e*)(In x)(x), find f'(x) and simplify. (6pts) 9. Use logarithmic differentiation to find - dy if y = x * (8pts) dx 10. Find the equation of the tangent line to the...

This assignment is out of 24 marks. To earn full marks for each question, a detailed algebraic solution and/or explanation is required. Review the "Directing Words" chart found in the course...

Please I need help with these problems. Please show your work so I can understand them better. Given the function , f (x) = 3x2- 2r + 5 Use the limit definition (difference quotient) to find the...

PLEASE INCLUDE C AND Y VALUES!!!!!!!!!! 5. Given the function f (x) = -2 cos(nx - ") a. Determine the amplitude of f (x). b. Determine the period of f (x). 1-2 = 2 2 17 c. Determine the phase shift...

Answers are on the 4th picture Find functions f(x) and g(x) so the given function can be expressed as h(x) = f(8(x)). 22. h (x ) = (x+ 2) 23. h (x) =- 4 (x + 2)? 24. h (x) =3+Vx-2 25. Given the...

Mr.X deposits Rs.1,00,000 in a bank which pays 10 percent interest. How much can he withdraw annually for a period of 30 years. Assume that at the end of 30 years the amount deposited will whittle...

1- Let A be a set with n elements where n "belongs to "w. suppose s "do NOT belong to" A. Show that A U {s} has n+1 element 2- Let A be a set with n + 1 elements, where n belong to w. let S belong to...

Harry contributed $ 2 , 0 0 0 to a Roth IRA six years ago. By this year, the investments in his account have grown to $ 3 , 7 8 5 . Finding himself in a financlal bind, Marry, now 3 4 , Is competled...

In the use of unmanned aerial vehicles (UAVs) that will shape the future of UAV applications, an online shopping company has purchased a group of UAVs for $84000. The market value is expected to...