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

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

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

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

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

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

tkhunny
 one year ago
Best ResponseYou've already chosen the best response.0No, 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?

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

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

tkhunny
 one year ago
Best 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?

deepthiakella1
 one year ago
Best ResponseYou've already chosen the best response.0so actually my question was f(x)=(x+1)^3 but thats okay haha but im not sure it can be negative

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

tkhunny
 one year ago
Best ResponseYou've already chosen the best response.0Come 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.

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

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

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

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

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