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9-156.

Show that the equation of the tangent line to the curve y = 12square root of x at the point (4, 24) is y = 3x + 12. Homework Help ✎

Use the point - slope form for a linear function.
You are given a point. So now you need the slope of the tangent line.

1. Find the slope function at x = 4.
2. Graph the slope function.
3. As h→0, what does the slope approach?

Use the slider in the eTool below to see that the slope at x = 4 is 3. Then find the equation of the tangent line with the given point and slope.
Click the link at right for the full version of the eTool: PCT 9-156 HW eTool