calculus

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Find an equation of the tangent to the curve f(x) = 2x^2 - 2x + 1 that has slope 2.

  • calculus -

    f' = slope = 4 x -2
    so
    4x-2 = 2
    4 x = 4
    x = 1
    if x = 1 then
    y = 2 -2 + 1 = 1
    so tangent at point (1,1) and m = 2
    1 = 2 (1) + b
    b = -1
    so
    y = 2 x - 1

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