6 Calculus questions pls help

If f {m} = :.:2 + m, which of the following would give the derivative of the function? (ch+x+.i_l.;t:)(:t:2 +x) Ax _ 2 _ _ 2 (B) \"max>0[ (x+x) +(:+:x)] ( :1: +x) (C) [ (17+ lm)2 +(.:t.'+:it2t:)](x2 +x) 23.x (x2+x+ox)(x2+x) (D) x (E) None ofthese (A) \"mm>0 Let f be a continuous function on the closed interval [23] . If f{2) = 5 and f{?) = 3 , then the Intermediate Value Theorem guarantees that (A) f'((:) = {J for at least one it between 2 and 1' (B) f'(c)=0 for at least one 4:: between 3 and 5 (C) f(c) = 0 for at least one 6 between 3 and 5 (D) f[c] = 0 for at least one r: between 2 and 1' A function f and a closed interval [0,5] are given. Show whether the conditions of the Intermediate Value Theorem hold for the given Vlaue of k . If the theorem does not hold, give the reason(s). l 5 feeE 9 [3:5] 1 kE D Yes, the conditions for the IVT are met. O No the IVT does not applg.r because 3 Is not between 3 and 5. O No the IVT does not apply.r because % Is not between f (3) and f{5}_ O NO the IVT does I101 apply because the function iS not continuous on the interval. Find the derivative GT the given function. {hinL it is; a numbed}. f{:.-}=12 we