Got Homework?
Connect with other students for help. It's a free community.
Here's the question you clicked on:
 0 viewing
identify the open intervals on which the function is increasing or decreasing f(x)=(x+3)^3
 6 months ago
 6 months ago
identify the open intervals on which the function is increasing or decreasing f(x)=(x+3)^3
 6 months ago
 6 months ago

This Question is Closed

tkhunnyBest ResponseYou've already chosen the best response.0
Do we get to use the derivative?
 6 months ago

tkhunnyBest ResponseYou've already chosen the best response.0
Allrighty, then. Show us f'(x).
 6 months ago

shamil98Best ResponseYou've already chosen the best response.0
the derivative is 3(x+3)^2
 6 months ago

tkhunnyBest ResponseYou've already chosen the best response.0
Perfect. If you think of the right thing, the answer to the following question is really, REALLY easy. :) Where is f'(x) negative, given that \(f'(x) = 2(x+3)^{2}\)?
 6 months ago

deepthiakella1Best ResponseYou've already chosen the best response.0
wait did i get the derivative wrong
 6 months ago

tkhunnyBest ResponseYou've already chosen the best response.0
No, you got it. I just had a typospasm. The answer to my question is the same. When is f'(x) negative? Don't look at the graph. Just think on the structure. A Real Number squared. When is that negative?
 6 months ago

shamil98Best ResponseYou've already chosen the best response.0
I got a question, why is 3(x+3)^2 not the derivative? o.o
 6 months ago

deepthiakella1Best ResponseYou've already chosen the best response.0
Isnt it using the chain rule...maybe haha
 6 months ago

tkhunnyBest ResponseYou've already chosen the best response.0
?? Why as that? You have it. Don't let my typo confuse you. \(f(x) = (x+3)^{3}\) \(f'(x) = 3(x+3)^{2}\) Okay, now answer... When is f'(x) negative?
 6 months ago

deepthiakella1Best ResponseYou've already chosen the best response.0
so actually my question was f(x)=(x+1)^3 but thats okay haha but im not sure it can be negative
 6 months ago

shamil98Best ResponseYou've already chosen the best response.0
oh then the derivative is 3(x+1)^2
 6 months ago

tkhunnyBest ResponseYou've already chosen the best response.0
Come on. You can see it. If you start with a Real Number, and Square it, will you EVER get a negative number? The derivative is NOT \(3(x+1)^{2}\). The derivative is \(f'(x) = 3(x+1)^{2}\). Don't be afraid to write whole, complete expressions.
 6 months ago

shamil98Best ResponseYou've already chosen the best response.0
sorry, f'(x) = 3(x+1)^2 continue with your explanation :P
 6 months ago

tkhunnyBest ResponseYou've already chosen the best response.0
Can f'(x) EVER be zero (0)?
 6 months ago

deepthiakella1Best ResponseYou've already chosen the best response.0
if x was 1 right?
 6 months ago

deepthiakella1Best ResponseYou've already chosen the best response.0
haha im stupid at calc. sorry :(
 6 months ago

deepthiakella1Best ResponseYou've already chosen the best response.0
tkhunny where did you go????
 6 months ago
See more questions >>>
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.