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SanjanaP
Group Title
Help with Increasing and Decreasing Derivatives Please!!
 one month ago
 one month ago
SanjanaP Group Title
Help with Increasing and Decreasing Derivatives Please!!
 one month ago
 one month ago

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myininaya Group TitleBest ResponseYou've already chosen the best response.1
what is the question exactly?
 one month ago

myininaya Group TitleBest ResponseYou've already chosen the best response.1
If f'>0, then f is increasing If f'<0, then f is decreasing
 one month ago

SanjanaP Group TitleBest ResponseYou've already chosen the best response.0
Oh...sorry I thought I had the attachment on
 one month ago

SanjanaP Group TitleBest ResponseYou've already chosen the best response.0
I neeed help with C and D
 one month ago

SanjanaP Group TitleBest ResponseYou've already chosen the best response.0
@myininaya
 one month ago

myininaya Group TitleBest ResponseYou've already chosen the best response.1
so are you having problems with the part highlighted in yellow?
 one month ago

SanjanaP Group TitleBest ResponseYou've already chosen the best response.0
Basically...
 one month ago

myininaya Group TitleBest ResponseYou've already chosen the best response.1
ok then so you know that g' will tell us if g is decreasing or increasing right?
 one month ago

myininaya Group TitleBest ResponseYou've already chosen the best response.1
so find g' given that: \[g(x)=\int\limits_{0}^{x} f(t) dt \] don't look at the picture yet just tell what g' is
 one month ago

SanjanaP Group TitleBest ResponseYou've already chosen the best response.0
f(x)+0.5
 one month ago

SanjanaP Group TitleBest ResponseYou've already chosen the best response.0
F(x)+c right?
 one month ago

myininaya Group TitleBest ResponseYou've already chosen the best response.1
no i'm sorry that isn't correct ok let's look at this... I will rewrite it a little... \[g(x)=F(x)F(0)\] where F'=f Now differentiate to find g'
 one month ago

SanjanaP Group TitleBest ResponseYou've already chosen the best response.0
I'm sorry..so what is g'?
 one month ago

myininaya Group TitleBest ResponseYou've already chosen the best response.1
you have to differentiate g(x)=F(x)F(0) to find g' can you do that?
 one month ago

SanjanaP Group TitleBest ResponseYou've already chosen the best response.0
I'm not sure what differentiate means anymore?
 one month ago

myininaya Group TitleBest ResponseYou've already chosen the best response.1
to find derivative
 one month ago

SanjanaP Group TitleBest ResponseYou've already chosen the best response.0
It's f'(x)f'(0)
 one month ago

SanjanaP Group TitleBest ResponseYou've already chosen the best response.0
f'(x)(x) right?
 one month ago

myininaya Group TitleBest ResponseYou've already chosen the best response.1
I will help you out some more. derivative of g is g' derivative of F is f (this was given above when I said F'=f) derivative of a constant is 0 everything i said in this little post right here will need to be used
 one month ago

SanjanaP Group TitleBest ResponseYou've already chosen the best response.0
oh....so the derivative of F(x) is f(x). Is that what you mean?
 one month ago

myininaya Group TitleBest ResponseYou've already chosen the best response.1
That is what I said
 one month ago

myininaya Group TitleBest ResponseYou've already chosen the best response.1
so do you know F(0) is a constant?
 one month ago

myininaya Group TitleBest ResponseYou've already chosen the best response.1
I think you are thinking of f(0) not F(0) f is given not F
 one month ago

myininaya Group TitleBest ResponseYou've already chosen the best response.1
Anyways F(0) is a constant. Because F is a just a function of x any if you plug in a number for x then you will definitely receive a constant  example: Say F(x)=cos(x) well F(0) is definitely a constant because F(0) is 1 and 1 never changes (it is and will always remain 1)
 one month ago

myininaya Group TitleBest ResponseYou've already chosen the best response.1
So going back to \[g(x)=\int\limits_{0}^{x} f(t) dt \\ g(x)=F(x)F(0)\] can you differentiate g now?
 one month ago

myininaya Group TitleBest ResponseYou've already chosen the best response.1
what that means is you will have to differentiate both sides (not just one side)
 one month ago

SanjanaP Group TitleBest ResponseYou've already chosen the best response.0
Can you just tell me where it is increasing and concave up...so I'll try to figure it out?
 one month ago

myininaya Group TitleBest ResponseYou've already chosen the best response.1
Try to use what I said earlier... derivative of g is g' derivative of F' is f derivative of a constant is 0 you can do this
 one month ago

SanjanaP Group TitleBest ResponseYou've already chosen the best response.0
I would prefer the answer because I have to write the explanation anyway.
 one month ago

SanjanaP Group TitleBest ResponseYou've already chosen the best response.0
Okay...so you g(x)= F(x)F(0)
 one month ago

SanjanaP Group TitleBest ResponseYou've already chosen the best response.0
that means g'(x) = f(x)0?
 one month ago

myininaya Group TitleBest ResponseYou've already chosen the best response.1
I'm not going to give just the answer. Sorry. But right g'=f so that means the picture given is g'
 one month ago

myininaya Group TitleBest ResponseYou've already chosen the best response.1
and you know if g'>0, then g is increasing and you know if g'<0, then g is decreasing
 one month ago

myininaya Group TitleBest ResponseYou've already chosen the best response.1
where on the picture that is given is g' above the x axis (because that is where g is increasing) and when g' is below the xaxis that is where g is decreasing
 one month ago

SanjanaP Group TitleBest ResponseYou've already chosen the best response.0
what about concave up?
 one month ago

SanjanaP Group TitleBest ResponseYou've already chosen the best response.0
dw:1407794546041:dw
 one month ago
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