Email
Chat with tutor
logo

Ask Questions, Get Answers

X
 
Answer
Comment
Share
Q)

If $ y=f \bigg(\Large\frac{2x-1}{x^2+1}\bigg)\;\normalsize and\;f' (x)=\sin x^2,\;find\; \Large\frac{dy}{dx}$

1 Answer

Comment
A)
Toolbox:
  • Use chain rule for differentiating y
$\large\frac{dy}{dx}=f ' \bigg(\large \frac{2x-1}{x^2+1} \bigg) $ x $ \large\frac{d}{dx}\large\frac{2x-1}{x^2+1}$
$f '(x) = sin\:x^2$
$ \Rightarrow f ' \bigg( \large\frac{2x-1}{x^2+1} \bigg) =sin \bigg( \large\frac{2x-1}{x^2+1} \bigg)^2$
$ \large\frac{dy}{dx}=sin \bigg( \large\frac{2x-1}{x^2+1} \bigg) ^2.\large\frac{2+2x-2x^2}{(x^2+1)^2}$

 

Help Clay6 to be free
Clay6 needs your help to survive. We have roughly 7 lakh students visiting us monthly. We want to keep our services free and improve with prompt help and advanced solutions by adding more teachers and infrastructure.

A small donation from you will help us reach that goal faster. Talk to your parents, teachers and school and spread the word about clay6. You can pay online or send a cheque.

Thanks for your support.
Continue
Please choose your payment mode to continue
Home Ask Homework Questions
Your payment for is successful.
Continue
Clay6 tutors use Telegram* chat app to help students with their questions and doubts.
Do you have the Telegram chat app installed?
Already installed Install now
*Telegram is a chat app like WhatsApp / Facebook Messenger / Skype.
...