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3-154.
equation of tangent at x = 3:
y − y1 = m(x − x1)
equation of tangent at x = 3:
y − 3 = 1(x − 3)
y = x − 3 + 3
y = x
To find another point with the same slope, consider the symmetry of the curve.
m = y '(3)
and y '(3) = 1 = m
x1 = 3
Use the eTool below to explore the graph of the curve.
Click the link at right for the full version of the eTool: Calc 3-154 HW eTool