A community for students. Sign up today!
Here's the question you clicked on:
 0 viewing
 one year ago
Find an equation of the tangent line to the curve
y=sin(7x)+cos(6x) at the point (pi/6,y(pi/6))
 one year ago
Find an equation of the tangent line to the curve y=sin(7x)+cos(6x) at the point (pi/6,y(pi/6))

This Question is Closed

hartnn
 one year ago
Best ResponseYou've already chosen the best response.1do you know how to find slope of tangent at a point ?

kiszer4148
 one year ago
Best ResponseYou've already chosen the best response.1I will first take the derivative of that equation and then plug in x. For some reason I'm still not getting the correct answer to this problem.

hartnn
 one year ago
Best ResponseYou've already chosen the best response.1show your work, i'll spot the error.

hartnn
 one year ago
Best ResponseYou've already chosen the best response.1this way it'll get solved faster

kiszer4148
 one year ago
Best ResponseYou've already chosen the best response.17cos(7x)−6sin(6x) is the derivative. So plugging in pi/6 for x to get the slope. We get 6.062177826

hartnn
 one year ago
Best ResponseYou've already chosen the best response.1ok, i get the same thing, thats your slope

kiszer4148
 one year ago
Best ResponseYou've already chosen the best response.1So putting this is slope intercept form you get \[Y=6.062177826x+b\] My only concern is with the y value being y(pi/6)

hartnn
 one year ago
Best ResponseYou've already chosen the best response.1yes, to get y(pi/6) put x=pi/6 in y sin(7pi/6)+cos(6pi/6) = ...

kiszer4148
 one year ago
Best ResponseYou've already chosen the best response.1wait where am i putting the pi/6?

hartnn
 one year ago
Best ResponseYou've already chosen the best response.1to get y(pi/6) from y(x) =sin(7x)+cos(6x) just replace x = pi/6 there

hartnn
 one year ago
Best ResponseYou've already chosen the best response.1yup so point is (pi/6, 1.5) with slope = 6.06 now can u find the equation of line ?

kiszer4148
 one year ago
Best ResponseYou've already chosen the best response.1So b=1.674148887 (I kept the full value of the slope in.) So the answer would be y=6.062177826x+1.674148887

hartnn
 one year ago
Best ResponseYou've already chosen the best response.1yes, i get the same answer.

kiszer4148
 one year ago
Best ResponseYou've already chosen the best response.1Thank you very much for your help today.
Ask your own question
Ask a QuestionFind 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.