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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
 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
 one year ago

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

kiszer4148Best ResponseYou've already chosen the best response.1
I 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.
 one year ago

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

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

kiszer4148Best ResponseYou've already chosen the best response.1
7cos(7x)−6sin(6x) is the derivative. So plugging in pi/6 for x to get the slope. We get 6.062177826
 one year ago

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

kiszer4148Best ResponseYou've already chosen the best response.1
So putting this is slope intercept form you get \[Y=6.062177826x+b\] My only concern is with the y value being y(pi/6)
 one year ago

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

kiszer4148Best ResponseYou've already chosen the best response.1
wait where am i putting the pi/6?
 one year ago

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

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

kiszer4148Best ResponseYou've already chosen the best response.1
So b=1.674148887 (I kept the full value of the slope in.) So the answer would be y=6.062177826x+1.674148887
 one year ago

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

kiszer4148Best ResponseYou've already chosen the best response.1
Thank you very much for your help today.
 one year ago
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