find the value of c that satisfies the equation f(b)-f(a)/b-a=f(c) and f(x)=9x+9/x [1/9, 9]

Question

anonymous · Answer

imm terrible at math:/

anonymous · Answer

I expect the notation should be Derivative there... ???

anonymous · Answer

yes

anonymous · Answer

So that's all :-) 
You are given f(x)... Firstly, differentiate it with respect to x... Write what you get...

anonymous · Answer

9-(9/x^2)

anonymous · Answer

Are you aware of Mean Value Theorem??? 
Set this derivative equal to 0 to get the value of c...

anonymous · Answer

no, I'm lost on what to do

anonymous · Answer

Look, there's something called ROLLE's THEOREM and Lagrange's Mean Value theorem...
I suggest you go through this... 
www.saylor.org/site/wp-content/.../4-2MeanValueTheorem1.pdf 

This would help... :-)

anonymous · Answer

Hey clear or not??? post doubts if any...

anonymous · Answer

will look later, have to go to a different class...thanks and I'll post questions later if I have any

anonymous · Answer

doesn't f(b)=f(a)?