A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 3 years ago
Did I do this problem correctly? (differentiation)
anonymous
 3 years ago
Did I do this problem correctly? (differentiation)

This Question is Closed

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0\(\ \huge \text{My steps:} \) \(\ \Huge f(x)=\frac{x}{(x^2+1)}.\) So to differentiate, I used the quotient rule: \(\ \Huge f'(x)=\frac{(1)(x^2+1)(x)(2x)}{(x^2+1)^2}, \) \(\ \Huge = \frac{x^2+12x^2}{(x^2+1)^2}, \) \(\ \Huge = \frac{x^2+1}{(x^2+1)^2}, \) \(\ \Huge = \frac{\cancel{x^2+1}}{\cancel{(x^2+1)}^2}, \) \(\ \Huge = \frac{1}{x^2+1} . \) \(\ \Huge \text{Is my work correct?} \)

hartnn
 3 years ago
Best ResponseYou've already chosen the best response.1\(\ \Huge = \frac{x^2+1}{(x^2+1)^2}\) cannot be simplified further. you cannot cancel like that.

hartnn
 3 years ago
Best ResponseYou've already chosen the best response.1\(\huge \frac{a+b}{a+b}\ne1\)

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0@hartnn So is that all I can simplify?

hartnn
 3 years ago
Best ResponseYou've already chosen the best response.1yes, your final answer will be\( \Huge \frac{1x^2}{(x^2+1)^2}\)

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0Okay, Thanks @hartnn!
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.