Question 3Question 3

a) Given the function: f(x) = 3(x-2)^2 + 2, determine the derivative of the function and find the equation of the line tangent to f(x) when x is 4.

b) The points of intersection between the lines tangent to g(x) when x=4 and the line tangent to f(x) when x=5 are the centers of three circles with a radius of 5. Determine the equations of the circles where g(x)= squareroot[x].