Register to reply 
Evaluate where F(x) is differentiable 
Share this thread: 
#1
Mar1812, 05:00 PM

P: 2

Hi there, I cannot seem to figure this question out.
1. The problem statement, all variables and given/known data Let f: [0,3] > R be defined as follows x if 0≤x<1,f(X)= 1≤x<2 x if 2≤x≤3obtain formulas for F(x) = for 0≤x≤3 and sketch the graphs of f(x) and F(x). Where is F(x) differentiable? Evaluate F(x) where differentiable. I missed a day of class and am now totally lost. I've read through the sections in Intro to real analysis by Bartle that cover this section and I get no where. Any help on where to go would be greatly appreciated! 


#2
Mar1812, 06:37 PM

Math
Emeritus
Sci Advisor
Thanks
PF Gold
P: 39,302

[tex]\lim_{h\to 0}\frac{f(a+h) f(a)}{h}[/tex] with a= 1 and then with a= 2. Look at the one sided limits. 


#3
Mar1812, 06:46 PM

P: 2

With that information, would it really make much of a difference to what you said previously? 


#4
Mar1812, 08:40 PM

Emeritus
Sci Advisor
HW Helper
PF Gold
P: 7,786

Evaluate where F(x) is differentiable



Register to reply 
Related Discussions  
Infinitely differentiable vs. continuously differentiable vs. analytic?  Calculus  13  
If f is differentiable at x = a, evaluate lim[h>0] (f(a+2h)f(a+3h))/h  Calculus & Beyond Homework  1  
G(x) is twice differentiable where g(4)=12 and g(5)=18. g(6)=?  Calculus & Beyond Homework  8  
Differentiable everywhere  Calculus  2  
Twice differentiable but not C^2  Calculus & Beyond Homework  4 