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kiszer4148
 2 years ago
Find an equation of the tangent line to the curve
y=sin(7x)+cos(6x) at the point (pi/6,y(pi/6))
kiszer4148
 2 years 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
 2 years ago
Best ResponseYou've already chosen the best response.1do you know how to find slope of tangent at a point ?

kiszer4148
 2 years 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
 2 years ago
Best ResponseYou've already chosen the best response.1show your work, i'll spot the error.

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

kiszer4148
 2 years 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
 2 years ago
Best ResponseYou've already chosen the best response.1ok, i get the same thing, thats your slope

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

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

kiszer4148
 2 years ago
Best ResponseYou've already chosen the best response.1Thank you very much for your help today.
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