7. DETAILS MY NOTES ASK YOUR TEACHER FDT. Given a function f(x) defined in a neighborhood of a critical point x = c, the first derivative test states that: O if f(x) > 0 for x 0 for x > c, and f'(c) = 0, then x = c is a relative minimum O none of the other answers O if f (x) 0 for x > c, then x = c is a relative minimum O if f(x) > 0 for x c, then x = c is a relative minimum O if f(x) c, and f'(c) = 0, then x = c is a relative minimum O if f(x) > 0 for x 0 for x > c, then x = c is a relative maximum O if f(x) c, and /'(c) = 0, then x = c is a relative maximum O if f(x) 0 for x > c, then x = c is a relative maximum O if f (x) > 0 for x 0 for x > c, and /'(c) = 0, then x = c is a relative maximum Submit