![lovenahofer](/avatars/20125.jpg)
lovenahofer
28.08.2019 •
Mathematics
What is the relative maximum and minimum of the function?
f(x)=x^3+6x^2-36
the relative maximum is at (–6, 216) and the relative minimum is at (2, –40).
the relative maximum is at (–6, 40) and the relative minimum is at (2, –216).
the relative maximum is at (6, 216) and the relative minimum is at (–2, –40).
the relative maximum is at (6, 40) and the relative minimum is at (–2, –216).
Solved
Show answers
More tips
- C Computers and Internet Best iPad Games: Our Opinion...
- A Animals and plants Man s Best Friend: Which Dog Breed Is the Most Friendly?...
- H Health and Medicine 10 Simple Techniques on How to Boost Your Mood...
- G Goods and services How to Choose the Right High Chair for Your Baby?...
- S Style and Beauty Learn how to tie a keffiyeh on your head like a pro...
- S Style and Beauty How to braid friendship bracelets?...
Answers on questions: Mathematics
- M Mathematics Estimate the product 0.9x82...
- M Mathematics The math club has 56 members. 1/8 of the memberss are fourth graders and the rest of them are fifth graders. How many math club members are fifth graders?...
- M Mathematics Expand 2( y+ 2) This is urgent!...
- M Mathematics Tom has a large photo he wants to shrink to wallet-sized. Its width is 20 centimeters and its length is 30 centimeters. If he wants the width to be 5 centimeters what should...
- M Mathematics Hololive? Thanks. ok....
- M Mathematics HELP ME PLDSSSSSSS ASAP...
- M Mathematics Task 6 Then Kiran deposited some more money and his account balance was $28. How much did he deposit? Use a variable to represent the unknown quantity in the transaction...
- M Mathematics Pls help for brainlist...
- M Mathematics The speed of one car is 20% less than the speed of a second car. What per cent more time does the first car need to travel the same route as the second car?...
- M Mathematics What is the sum of interior angles of a 43-gon...
Ответ:
f'(x)=3x^2+12x
find where it equals zero
it equal zero at x=0 and x=-4
find the y values
f(0)=-36
f(-4)=-4
the critical points are (0,-36) and (-4,-4)
make sign chart
evalutat f'(x) at x=-5 and x=-1 and x=1, and see their signs
f'(-5)=(+)
f'(-1)=(-)
f'(1)=(+)
see below attachment
max is where sign changes from (+) to (-)
min is where sign changes from (-) to (+)
so
max at (-4,-4)
min at (0,-36)
none of the options are correct, do you have te right problem?
Ответ: