The function f is defined by f(x) = V25 - x2 for -5

The function f is defined by f (x) = for 5 x 5. (a) Find f '(x). (b) Write an equation for the line tangent to the graph off at x = 3. f (x) for 5 x 3 (c) Let g be the function defined by g(x) = x +7 for 3 < x < 5. Is g continuous at x = 3 ? Use the definition of continuity to explain your answer.