Got Homework?
Connect with other students for help. It's a free community.
Here's the question you clicked on:
 0 viewing
Hmm.. I'm having difficulties differentiating this function: \(\ \frac{x}{x+\frac{c}{x}} \). Help, please!
 one year ago
 one year ago
Hmm.. I'm having difficulties differentiating this function: \(\ \frac{x}{x+\frac{c}{x}} \). Help, please!
 one year ago
 one year ago

This Question is Closed

MathmuseBest ResponseYou've already chosen the best response.2
function of x. c and z are constants. Direct quotient rule
 one year ago

Study23Best ResponseYou've already chosen the best response.0
@Mathmuse The fraction is \(\ \Huge \frac{c}{x}.\)
 one year ago

MathmuseBest ResponseYou've already chosen the best response.2
my bad, could not see it properly. In that case, get a common denominator of x on the bottom.
 one year ago

Study23Best ResponseYou've already chosen the best response.0
Could you help me with that?
 one year ago

Study23Best ResponseYou've already chosen the best response.0
Could I substitute the fraction with \(\ \huge c^{x} ? \)
 one year ago

MathmuseBest ResponseYou've already chosen the best response.2
\[\frac{x}{x + \frac{c}{x}}=\frac{x}{(\frac{x^2+c}{x})}=\frac{x}{1}\frac{x}{(x^2+c)}\]
 one year ago

Study23Best ResponseYou've already chosen the best response.0
So how I go use the quotient rule to differentiate this function?
 one year ago

MathmuseBest ResponseYou've already chosen the best response.2
right. Or, because i always mess up the quotient rule, convert it to product rule
 one year ago

MathmuseBest ResponseYou've already chosen the best response.2
\[\frac{x}{x^2+c}=x*(x^2+c)^{1}\]
 one year ago

JonaskBest ResponseYou've already chosen the best response.0
\[(\frac{ x^2 }{ x^2+c })'=\frac{ (x^2)'(x^2+c)(x^2+c)'x^2 }{ (x^2+c)^2 }\]
 one year ago

JonaskBest ResponseYou've already chosen the best response.0
\[\frac{ 2x(x^2+c)2x(x^2) }{ (x^2+c)^2 }=\frac{ 2xc }{ (x^2+c)^2 }\]
 one year ago

Study23Best ResponseYou've already chosen the best response.0
Where did \(\ \Huge x^2+c \) come from??
 one year ago

JonaskBest ResponseYou've already chosen the best response.0
@Mathmuse didnot write x^2 as nominator
 one year ago

JonaskBest ResponseYou've already chosen the best response.0
\[x+\frac{ c }{ x }=\frac{ x^2+c }{ x }\]
 one year ago

Study23Best ResponseYou've already chosen the best response.0
So how does that become x^2+c?
 one year ago

JonaskBest ResponseYou've already chosen the best response.0
\[x \div \frac{ x^2+c }{ x }=x \times \frac{ x }{ x^2+c }=\frac{ x^2 }{ x^2+c }\]
 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.