Got Homework?
Connect with other students for help. It's a free community.
Here's the question you clicked on:
 0 viewing
natka107
Group Title
Determine an equation of the line tangent to the graph of
y= ((x^21)^2)/(x^36x1) at the point (3,8)
 11 months ago
 11 months ago
natka107 Group Title
Determine an equation of the line tangent to the graph of y= ((x^21)^2)/(x^36x1) at the point (3,8)
 11 months ago
 11 months ago

This Question is Open

myininaya Group TitleBest ResponseYou've already chosen the best response.1
\[y=\frac{(x^21)^2}{x^36x1}\] Have you found y' yet?
 11 months ago

natka107 Group TitleBest ResponseYou've already chosen the best response.0
Yes, I have but I am getting the final answer wrong, and I am not sure where I am making a mistake. It is the first time I can't figure out what I am doing wrong...
 11 months ago

myininaya Group TitleBest ResponseYou've already chosen the best response.1
So you have \[((x^21)^2)'=2(x^21) \cdot 2x \] and \[(x^36x1)'=3x^26\] ?
 11 months ago

myininaya Group TitleBest ResponseYou've already chosen the best response.1
So by quotient rule, we should have \[y'=\frac{2(x^21) \cdot 2x (x^36x1)(3x^26)(x^21)^2}{(x^36x1)^2}\]
 11 months ago

myininaya Group TitleBest ResponseYou've already chosen the best response.1
What did you get for the slope? I got a pretty little integer.
 11 months ago

myininaya Group TitleBest ResponseYou've already chosen the best response.1
Say something so I can know you are still there. Like did you simplify that above and then plug in? I'm getting the slope of the tangent at x=3 is 9.
 11 months ago

natka107 Group TitleBest ResponseYou've already chosen the best response.0
sorry. The answer is y=9x+35
 11 months ago

natka107 Group TitleBest ResponseYou've already chosen the best response.0
I got some bizzare answers that don't make much sense... However, for y' i got \[((x^21)(x^415x^24x6))\div(x^36x1)^2\]
 11 months ago

natka107 Group TitleBest ResponseYou've already chosen the best response.0
myininaya how did you get 9 and 3?
 11 months ago

myininaya Group TitleBest ResponseYou've already chosen the best response.1
Your question said to find the tangent line at x=3. I plugged x=3 into f'.
 11 months ago

natka107 Group TitleBest ResponseYou've already chosen the best response.0
I did that and still did something wrong. Anyways, thanks for your help.
 11 months ago

myininaya Group TitleBest ResponseYou've already chosen the best response.1
You y' is right... I don't understand why you aren't getting 9 when pluggin in 3.... \[\frac{(3^21)(3^415(3)^24(3)6)}{(3^36(3)1)^2}\] \[=\frac{(91)(81135126)}{(27181)^2}=\frac{(8)(81153)}{(2719)^2}\] \[=\frac{(8)(72)}{(8)^2}=\frac{8(72)}{(8)(8)}=\frac{\cancel{8}(72)}{\cancel{(8)}(8)}=\frac{72}{8}=9\]
 11 months ago

myininaya Group TitleBest ResponseYou've already chosen the best response.1
You should be getting 9 as the slope of your line... So I don't know where you are going wrong in your calculation.
 11 months ago

natka107 Group TitleBest ResponseYou've already chosen the best response.0
Hah, I found my mistake! I kept calculating 3^2 instead of 3^3 in the denominator...
 10 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.