Got Homework?
Connect with other students for help. It's a free community.
Here's the question you clicked on:
 0 viewing
klewis1
Group Title
Find an equation of the tangent line to the curve
y=(1x)/(1+x) points (2,3)
 6 months ago
 6 months ago
klewis1 Group Title
Find an equation of the tangent line to the curve y=(1x)/(1+x) points (2,3)
 6 months ago
 6 months ago

This Question is Open

Landon_Buckland Group TitleBest ResponseYou've already chosen the best response.1
To solve this you have to apply the quotient rule: \[D _{x}\left[ \frac{ f(x) }{ g(x) } \right]=\frac{ f ^{\prime}(x)g(x)f(x)g ^{\prime}(x) }{ \left[ g(x) \right]^{2} }\] \[D _{x}\left[ \frac{ (1x) }{ (1+x) } \right]=\frac{ 1(1+x)(1x)1 }{ [1]^2 }\]This simplifies to...\[D _{x}=2\]Now we can insert our derivative and point into the pointslope form:\[yy _{1}=m \left( xx _{1} \right)\] \[3  y _{1}=2\left( 2x _{1} \right)\]...which simplifies to your solution:\[y=2x7\]I hope this helped!
 6 months 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.