Register to reply 
Differentiate the function 
Share this thread: 
#1
Nov2510, 09:26 AM

P: 726

1. The problem statement, all variables and given/known data
If [tex] f(x) = \int_{x^2}^{3x} \sqrt{t^3 + x^3} dt [/tex] then find the expression for f'(x) 2. Relevant equations 3. The attempt at a solution Usually I would use the FTC, but since there the variable x occurs in the integrand, I don't know how to differentiate this. Any help? 


#2
Nov2510, 09:47 AM

Mentor
P: 18,330

The standard way of doing this is by the Leibniz rule.
See http://en.wikipedia.org/wiki/Leibniz_integral_rule under the section "variable limits". 


Register to reply 
Related Discussions  
Differentiate the function  Calculus & Beyond Homework  11  
Trying to differentiate a function using fermat's way.  Calculus & Beyond Homework  3  
Differentiate this function  Calculus & Beyond Homework  8  
Differentiate an integration of a function with respect to that function itself  Calculus  1  
Differentiate this function  Calculus & Beyond Homework  17 