calculas

consider the following.
Function
y = cos 3x
point (pi/4, -square root of 2/2)

(a) Find an equation of the tangent line to the graph of f at the given point. (Let x be the independent variable and y be the dependent variable.)

asked by Sagar
  1. first, find the slope of the tangent line anywhere:

    y' = -3sin(3x)
    so, at x=π/4, y = -3sin(3π/4) = -3/√2

    Now you have a point and a slope, so the line is

    y + 1/√2 = -3/√2 (x - π/4)

    posted by Steve

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