(Topic: Applications of Differentiation) Write only True or False...... This is Urgent!! Thankyou!

Applications of Differentiation True or False True or False: * 1 point A function f is said to be increasing on an interval I if whenever 21, 12 E I and x1 f(x2). Let f be a function such that f"(x) = 3x + 5 with a critical number at a = -2. Then, f has a relative minimum at z = -2. Define f such that f'(x) = 5x - 3. Then, f has relative minimum at x = CT / CO Define f(x) = x3 - 7x2 + 6over [-1, 1). Then, by the Mean Value Theorem, there exists c E (-1, 1) such that 3c2 - 14c = 0. A function f attains a relative maximum at a number c if there exists 6 > 0 such that f(x) > f(c), for all x E (c - 8, c + 8). Let f be a function such that f"(x) exists on an open interval I. If f"(x) > 0, for all x E I, then f is concave upward on I. Define f(x) = x3 - 7x2 + 6over [-1, 1]. Then, by Rolle's Theorem, there exists c E (-1, 1) such that 3c2 - 14c = 1. Let f be a function such that f'(c) = 0 and f"(x) exists on some open interval containing c. If f"(c) > 0, then f has a relative minimum at z = c