, it is important to recognize that the point (x,y) in the first quadrant represents any
point on the semicircle. In Figure 2, the same semicircle is shown with the inscribed rectangle drawn for
three different values of x.
F(x)=2+3sin(theta)
f'(x)=3cos(theta)
To find the slope you need the value of theta. The general formula is:
y-f(xo)=f'(xo)-(x-xo)
