
Calculus Calculus Math Forum 
 LinkBack  Thread Tools  Display Modes 
September 5th, 2018, 06:13 PM  #1 
Newbie Joined: Sep 2018 From: Probably my bedroom Posts: 4 Thanks: 0 Math Focus: E V E R Y T H I N G  Help me to verify these derivates! Urgent!
Hey there, guys! I'd like to know if you can help me test these formulas. You just have to derive them. And if the result is equal to what is inside the integral are well done. I'd really appreciate your help. Thank you! 
September 5th, 2018, 06:42 PM  #2 
Senior Member Joined: Sep 2015 From: USA Posts: 2,100 Thanks: 1093 
you can dump them into wolfram alpha as well as we can

September 5th, 2018, 06:47 PM  #3 
Newbie Joined: Sep 2018 From: Probably my bedroom Posts: 4 Thanks: 0 Math Focus: E V E R Y T H I N G 
C'mon dude... Can you give me a hand, please?

September 5th, 2018, 07:50 PM  #4 
Global Moderator Joined: Dec 2006 Posts: 19,542 Thanks: 1751 
The first is okay if 4ac > b². I haven't checked the others, but it's apparent that special cases, such as when a = 0, haven't been considered. 
September 5th, 2018, 07:52 PM  #5 
Math Team Joined: May 2013 From: The Astral plane Posts: 1,888 Thanks: 765 Math Focus: Wibbly wobbly timeywimey stuff. 
Are you asking how to do the integrals? To verify the solutions by taking the derivative of the RHS: Hint: $\displaystyle \frac{d}{dx} \text{atn} (x) = \frac{1}{x^2 + 1}$ Hint: $\displaystyle \frac{d}{dx} \lnx = \frac{1}{x}$ The rest is just using the chain rule. See what you can do with these. Dan Last edited by skipjack; September 6th, 2018 at 04:23 AM. 
September 5th, 2018, 08:19 PM  #6 
Senior Member Joined: Sep 2015 From: USA Posts: 2,100 Thanks: 1093  
September 6th, 2018, 02:24 AM  #7 
Newbie Joined: Sep 2018 From: Probably my bedroom Posts: 4 Thanks: 0 Math Focus: E V E R Y T H I N G 
Thank you so much!


Tags 
calculus, derivates, math, urgent, verify 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Verify the following  Rakshasa  Applied Math  7  May 7th, 2012 01:37 PM 
A question on binomial series for derivates  vvv  Calculus  1  May 2nd, 2012 12:49 PM 
partial derivates  riotsandravess  Calculus  1  February 13th, 2011 04:36 PM 
can you verify this....  sivela  Calculus  1  April 13th, 2010 11:28 AM 
2 basic questions about derivates  aneuryzma  Calculus  2  September 13th, 2009 03:40 AM 