A central concept in calculus is the extension of the tangent line to a circle to an arbitrary curve. In this exercise you will investigate finding the tangent line to a cirele using geometry and essentially using calculus. a. Find the equation of the tangent line to the unit circle at the point (1/2, v3/2) by finding the slope of the line that coincides with the ra- dius through the point as show in the figure below. b. The slope of a tangent line can also be computed using the difference quotient. - Write the upper half semi-circle as y = f(z) - Write the difference quotient for f(x) - Simplify the difference quotient using h(va+ vb) What happens to the simplified difference quotient as h → 0? Com- pare this result with what you found in part a.).

Q: Are you sure this is right

A: Yes, the solution given is correct.

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