Use part 1 of the fundamental theorem of calculus to find the derivative of the function.

h(x) =

x2
sqrt2a. gif 5 + r3dr
integral. gif
1

h'(x) =

Apinhole camera is made out of a light-tight box with a piece of film attached to one side and pinhole on the opposite side. the optimum diameter d(in millimeters) of the pinhole can be modeled by d=1.9[ (5.5 x 10^-4) l) ] ^1/2, where l is the length of the camera box (in millimeters). what is the optimum diameter for a pinhole camera if the camera box has a length of 10 centimeters