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

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

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

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

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

shamil98 Group TitleBest ResponseYou've already chosen the best response.0
the derivative is 3(x+3)^2
 10 months 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 \(f'(x) = 2(x+3)^{2}\)?
 10 months ago

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

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

deepthiakella1 Group TitleBest ResponseYou've already chosen the best response.0
idk
 10 months ago

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

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

deepthiakella1 Group TitleBest ResponseYou've already chosen the best response.0
no
 10 months ago

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

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

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

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

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