A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 one year ago
another problem i'm having trouble with
Show that the function F of x equals the integral from x to 4 times x of 1 over t dt is constant on the interval (0, +∞)
anonymous
 one year ago
another problem i'm having trouble with Show that the function F of x equals the integral from x to 4 times x of 1 over t dt is constant on the interval (0, +∞)

This Question is Closed

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0this is the function

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0not really sure where to start on this one

Empty
 one year ago
Best ResponseYou've already chosen the best response.1Hmmm well maybe you could take its derivative, and since the derivative of a constant is 0, if its derivative is 0 then you know it was a constant.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0okay so then \[\frac{ 1 }{ 4x}  1/x\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0no wait that cant be right

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[((\frac{ 1 }{ 4x })(4))  (\frac{ 1 }{ x })\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[ \frac{ 4 }{ 4x}  \frac{ 1 }{ x }\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0the 4 cancel out and we end up with zero , and zero is a constant thus the function is constant .... does that seem right to you?

Empty
 one year ago
Best ResponseYou've already chosen the best response.1Well not quite because zero is a constant slight note

Empty
 one year ago
Best ResponseYou've already chosen the best response.1zero is the derivative of a constant!

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0okay that makes sense , yea ... ZERO IS THE DERIVATIVE OF A CONSTANT !!

Empty
 one year ago
Best ResponseYou've already chosen the best response.1Haha yeah so you got zero for your derivative, booooom done! :P
Ask your own question
Sign UpFind more explanations on OpenStudy
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.