Got Homework?
Connect with other students for help. It's a free community.
Here's the question you clicked on:
 0 viewing
Study23
Group Title
Help with Part 1 of the Fundamental Theorem of Calculus?? What does this mean? (d/dx) integral x to a f(t) dt = f(x)??????
 one year ago
 one year ago
Study23 Group Title
Help with Part 1 of the Fundamental Theorem of Calculus?? What does this mean? (d/dx) integral x to a f(t) dt = f(x)??????
 one year ago
 one year ago

This Question is Closed

satellite73 Group TitleBest ResponseYou've already chosen the best response.0
it means, in english, that "the derivative of the integral is the integrand"
 one year ago

Study23 Group TitleBest ResponseYou've already chosen the best response.0
I'm confused about the d/dx part in particular...
 one year ago

satellite73 Group TitleBest ResponseYou've already chosen the best response.0
that is, if \[F(x)=\int_a^xf(t)dt\] then \[F'(x)=f(x)\]
 one year ago

satellite73 Group TitleBest ResponseYou've already chosen the best response.0
notice that \[F(x)=\int_a^xf(t)dt\] is a function of the variable \(x\) and not of \(t\)
 one year ago

satellite73 Group TitleBest ResponseYou've already chosen the best response.0
for example, if \[F(x)=\int_0^x\sin(t)dt\] then \[F'(x)=\sin(x)\]
 one year ago

Study23 Group TitleBest ResponseYou've already chosen the best response.0
So what does that mean d/dx mean exactly? Does it have todo with the dx dummy variable? Sorry, but that d/dx I throwing me off. Does it mean I have to take the derivative once I find the anti derivative?
 one year ago

satellite73 Group TitleBest ResponseYou've already chosen the best response.0
the \(\frac{d}{dx}\) notation just means the derivative wrt \(x\) do not be confused by that, it is the same as saying the derivative of the integral is the integrand
 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.