Got Homework?
Connect with other students for help. It's a free community.
Here's the question you clicked on:
 0 viewing
solving for g'(x) when g(x)=integral from sqrt(x) to x^2, (sin t)(sqrt t) dt
 one year ago
 one year ago
solving for g'(x) when g(x)=integral from sqrt(x) to x^2, (sin t)(sqrt t) dt
 one year ago
 one year ago

This Question is Closed

satellite73Best ResponseYou've already chosen the best response.1
derivative of the integral is the integrand, plus chain rule replace \(t\) by \(x^2\) and multiply by the derivative of \(x^2\) get \[\sin(x^2)\sqrt{x^2}\times 2x\] for the top part bottom part is the same, but make it negative
 one year ago

justinfungBest ResponseYou've already chosen the best response.0
I think I am suppose to break it up. integral from sqrt x to 0 plus 0 to x^2. But i have no idea why this is the way to do it
 one year ago

satellite73Best ResponseYou've already chosen the best response.1
yes but you can break up anyway you like
 one year ago

satellite73Best ResponseYou've already chosen the best response.1
the top part gives what i wrote above, the bottom part is analogous, just make it negative
 one year ago

justinfungBest ResponseYou've already chosen the best response.0
the bottom can be any number??
 one year ago

justinfungBest ResponseYou've already chosen the best response.0
I know I'm suppose to use the second fundamental theorem
 one year ago

satellite73Best ResponseYou've already chosen the best response.1
yes \[\int_{\sqrt{x}}^{x^2}f(t)dt=\int_{\sqrt{x}}^af(t)dt+\int_a^{x^2}f(t)dt\]
 one year ago

justinfungBest ResponseYou've already chosen the best response.0
My teacher chose 0 though. Is there a reason for that? should I just choose 0 everytime?
 one year ago

satellite73Best ResponseYou've already chosen the best response.1
take the derivative of the second part, get \(f(x^2)\times 2x\)
 one year ago

satellite73Best ResponseYou've already chosen the best response.1
the derivative of the first part is \(f(\sqrt{x})\times \frac{1}{2\sqrt{x}}\)
 one year ago

satellite73Best ResponseYou've already chosen the best response.1
if you like to pick zero, go ahead a pick zero makes no difference
 one year ago

justinfungBest ResponseYou've already chosen the best response.0
Ok I understand it now. Thanks!!!! :)
 one year ago
See more questions >>>
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.