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3-154.

Sketch a graph and find the equation of the line tangent to the curve at x = 3. Then, find another point on the curve with the same slope as the tangent. Homework Help ✎

equation of tangent at x = 3:
yy1 = m(xx1)

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