Art, Music, and Creative Writing homework help. Which of the following statements is/are true?If f ‘(x) > 0 on (a, b), then f(x) is increasing on [a, b].If f(a) = f(b), then there exists a number c in (a, b) such that f ‘(x) = 0.If f(x) is differentiable at x = c, then f(x) is continuous at x = c.Given the relationship 2×2 + y3 =10, with y > 0 and dy/dt = 3 units/min., find the value of dx/dt at the instant x = 1 unit.