Find the point on the graph of the function that is closest to the given point. f(x) = radx − 9 , (16, 0)

Answer 1

First: write an equation for the distance (D). Thus D²=(16-x)²+(sqrt(x)-9-0)².

Second: use implicit differentiation to find dD/dx = (-2(16-x)+ 1-9/sqrt(x))/2D

Third: set dD/dx = 0 and solve for x = 23.8 (use calculator for that).

Fourth: find D with x=23.8 = 8.82