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deepthiakella1
Group Title
identify the open intervals on which the function is increasing or decreasing f(x)=(x+3)^3
 one year ago
 one year ago
deepthiakella1 Group Title
identify the open intervals on which the function is increasing or decreasing f(x)=(x+3)^3
 one year ago
 one year ago

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tkhunny Group TitleBest ResponseYou've already chosen the best response.0
Do we get to use the derivative?
 one year ago

deepthiakella1 Group TitleBest ResponseYou've already chosen the best response.0
yup!
 one year ago

tkhunny Group TitleBest ResponseYou've already chosen the best response.0
Allrighty, then. Show us f'(x).
 one year ago

deepthiakella1 Group TitleBest ResponseYou've already chosen the best response.0
3(x+1)^2
 one year ago

shamil98 Group TitleBest ResponseYou've already chosen the best response.0
the derivative is 3(x+3)^2
 one year ago

tkhunny Group TitleBest 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 \(f'(x) = 2(x+3)^{2}\)?
 one year ago

deepthiakella1 Group TitleBest ResponseYou've already chosen the best response.0
wait did i get the derivative wrong
 one year ago

tkhunny Group TitleBest 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?
 one year ago

shamil98 Group TitleBest ResponseYou've already chosen the best response.0
I got a question, why is 3(x+3)^2 not the derivative? o.o
 one year ago

deepthiakella1 Group TitleBest ResponseYou've already chosen the best response.0
Isnt it using the chain rule...maybe haha
 one year ago

tkhunny Group TitleBest 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?
 one year ago

deepthiakella1 Group TitleBest 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
 one year ago

deepthiakella1 Group TitleBest ResponseYou've already chosen the best response.0
idk
 one year ago

shamil98 Group TitleBest ResponseYou've already chosen the best response.0
oh then the derivative is 3(x+1)^2
 one year ago

deepthiakella1 Group TitleBest ResponseYou've already chosen the best response.0
hahaha ya
 one year ago

tkhunny Group TitleBest 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.
 one year ago

shamil98 Group TitleBest ResponseYou've already chosen the best response.0
sorry, f'(x) = 3(x+1)^2 continue with your explanation :P
 one year ago

tkhunny Group TitleBest ResponseYou've already chosen the best response.0
Can f'(x) EVER be zero (0)?
 one year ago

deepthiakella1 Group TitleBest ResponseYou've already chosen the best response.0
if x was 1 right?
 one year ago

deepthiakella1 Group TitleBest ResponseYou've already chosen the best response.0
haha im stupid at calc. sorry :(
 one year ago

deepthiakella1 Group TitleBest ResponseYou've already chosen the best response.0
tkhunny where did you go????
 one year ago
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