A community for students.
Here's the question you clicked on:
 0 viewing
burhan101
 one year ago
Determine the equation of the tangent to the curve
y=
burhan101
 one year ago
Determine the equation of the tangent to the curve y=

This Question is Closed

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

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

oldrin.bataku
 one year ago
Best ResponseYou've already chosen the best response.3our 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:$$ye=2e(x1)\\y=2ex2e+e=2exe$$

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

Azteck
 one year ago
Best 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.

Azteck
 one year ago
Best ResponseYou've already chosen the best response.0Then 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
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.