Register to reply

Differentiate the function

by JG89
Tags: differentiate, function
Share this thread:
JG89
#1
Nov25-10, 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?
Phys.Org News Partner Science news on Phys.org
Physical constant is constant even in strong gravitational fields
Montreal VR headset team turns to crowdfunding for Totem
Researchers study vital 'on/off switches' that control when bacteria turn deadly
micromass
#2
Nov25-10, 09:47 AM
Mentor
micromass's Avatar
P: 18,345
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