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deepthiakella1
 2 years ago
identify the open intervals on which the function is increasing or decreasing f(x)=(x+3)^3
deepthiakella1
 2 years ago
identify the open intervals on which the function is increasing or decreasing f(x)=(x+3)^3

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

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

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

tkhunny
 2 years 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
 2 years ago
Best ResponseYou've already chosen the best response.0wait did i get the derivative wrong

tkhunny
 2 years 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
 2 years 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
 2 years ago
Best ResponseYou've already chosen the best response.0Isnt it using the chain rule...maybe haha

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

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

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

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

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

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