Got Homework?
Connect with other students for help. It's a free community.
Here's the question you clicked on:
 0 viewing
burhan101
Group Title
Determine the equation of the tangent to the curve
y=
 one year ago
 one year ago
burhan101 Group Title
Determine the equation of the tangent to the curve y=
 one year ago
 one year ago

This Question is Closed

burhan101 Group TitleBest ResponseYou've already chosen the best response.0
\[\huge y=e^{2x1} \] at x=1
 one year ago

burhan101 Group TitleBest ResponseYou've already chosen the best response.0
dw:1371802792014:dw
 one year ago

oldrin.bataku Group TitleBest ResponseYou've already chosen the best response.3
our tangent passes through point \((1,e)\) with slope determined by:$$y'=e^{2x1}\cdot2=2e^{2x1}\\y'(1)=2e$$thus we just put it all together:$$ye=2e(x1)\\y=2ex2e+e=2exe$$
 one year ago

burhan101 Group TitleBest ResponseYou've already chosen the best response.0
i think y= \[\huge 2e(x1)+e\]
 one year ago

Azteck Group TitleBest ResponseYou've already chosen the best response.0
@burhan101 When they give you the x value of the point, you should start finding the yvalue for the point by plugging the xvalue which is 1, into the curve's equation. Once you've done that and found the derivative (which you've done), you can find the gradient of the tangent by plugging the point into the derivative.
 one year ago

Azteck Group TitleBest ResponseYou've already chosen the best response.0
Then you can use this to find your equation of the tangent: \[xx_{1}=m(yy_{1})\] where: \[(x_{1}, y_{1})\] is the point given and m is the gradient of the tangent
 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.