Please show all steps. Thank you

C4"! a) % b) Z c) 0 d) r 3d.7; 3 211:1: + 1 5 a) (a: 1)2 h) (:1: 1)2 c) a: 1 d) (a: 1)2 e) none of the above e) none of the above e) none of the above e) none of the above e) none of the above e) none of the above e) none of the above 1 . The derivative f'(a:) of the function f(:1:) = .a is a? 3 1 1 ' 74 _ _ 2f3 _ a) 3m b) 334 c) 35:: d) 333 . The derivative g'(t) of the function g(t) : 78* is a) Ttetil b) 79E c) 0 d) 761371 . The tangent line to the graph of the function f (9:) : 23:5 511':4 + 211':2 + 63: is horizontal at the point a)3:=0 b)a:=1 c)a:=c d):[:=1 . The slope of the tangent to the curve f(:r:) : 56321 at the point :r: : 1 is a) 10 b) 56 c) 1062 (1) 101.88121 . If Mt) : 3 then the second derivative h\"(t) is 2t + 1 2 4 4 h d 4 2t 1 2 3) (2: + 1)2 ) (2t + n2 C) (2: + 1)3 l ( + l . Which of the following is a critical point for f (1r) : 2 h1(3: 1) :13? a)3:=2 b):n=1 (3)3320 d)1n2 2 1 . The differential of f(:r) : $+1 is m e) none of the above