Calculus grade 12

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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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