Sunday
March 26, 2017

Post a New Question

Posted by on .

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 - ,

    f'(x) = 1 - 2sinx
    = 0 for a horizontal slope
    1-2sinx = 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 , (5π-6√3)/6 )

  • Calculus grade 12 - ,

    thank you reiny

Answer This Question

First Name:
School Subject:
Answer:

Related Questions

More Related Questions

Post a New Question