fraz3gingerreberlyL
fraz3gingerreberlyL fraz3gingerreberlyL
  • 20-07-2016
  • Mathematics
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Find an equation of the tangent line to the curve y=sin(3x)+cos(4x) at the point (π/6, y(π/6)).

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meerkat18
meerkat18 meerkat18
  • 20-07-2016
The derivative of y = sin(3x)+cos(4x) is obtained by following the rules of trigonometric properties. The derivative is y' = 3 cos 3x - 4 sin 4x. When we substitute x as pi/6, y' is -2√3.  we substitute to y-y1 = m ( x-x1) 

y - π/6 = -2√3* (x - π/6) 
y = 
-2√3 x + π/6*(1+2√3) = -2√3 x + 2.3374
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