Posted by Julie on Thursday, April 12, 2012 at 12:50pm.
find the coordinates of all points on the graph of f(x) = x + 2cos(x) in the interval [0, pie] at which the tangent line is horizontal.

Calculus grade 12  Reiny, Thursday, April 12, 2012 at 1:16pm
f'(x) = 1  2sinx
= 0 for a horizontal slope
12sinx = 0
sinx = 1/2
x = π/6 or 5π/5
if x = π/6
y = π/6 + √3 = (π + 6√3)/6 > point (π/6 , (π+6√3)/6
if x = 5π/6
y = 5π/6  √3 = (5π  6√3)/6 > point (5π/6 , (5π6√3)/6 )

Calculus grade 12  Julie, Thursday, April 12, 2012 at 3:31pm
thank you reiny
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