Consider the following function:

Question

 x, (1,1)

(a) Find an equation of the tangent line to the graph of f at the given point.

y=?

(b) Use a graphing utility to graph the function and its tangent line at the point.

Answer 1

The derivative is (1/2)/sqrt(x) and at x=1, this is 1/2

The tangent line is 1/2=(y-1)/(x-1).