text: # Calculus grade 12
  
  posted by .
  
  Determine the equation of the tangent line to the function f(x) = x + Sinx at x = pie
  
  • Calculus grade 12 -
  
  first find the slope at x = pi
  
  dy/dx = 1 + cos x = 1+cos pi = 1-1 = 0
  so the line is horizontal
  
  at x = pi
  y = pi + sin pi = pi + 0 = pi
  so the equation of our line is
  y = pi
  
  • Calculus grade 12 -
  
  Thank you Damon!
  
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