i do not understand how to solve these questions. please explain the methods and steps to solve. thankyou

2. (5 marks) Consider the function: f(x) =-r+r+212 -1 Show that at least one root exists in the interval (0, 1] and that a separate root exists in the interval [1, 2]. Remark: This problem illustrates how to prove the existence of at least two roots by strategically selecting two distinct non-overlapping intervals. 3 342+1-6 marks Consider the function /)-3 (a) (3 marks Compute f'(r) using the (limit) definition of derivative No marks will be given if you use the differentiation rules (b) (2 marks/ Compute fila ) using the differentiation rules. [c) [1 marks) Evaluate f'() at r = 1. (d) [2+2=4 marks/ Let f(x) = Isin (x). Suppose also that h and k are defined as follow: h'(x) = cos (7 sin(x)) K'(z) = f (x + 27) h(0) = T k(0) = 0 Find (a) [2 marks] (f oh)'(0) (b) (2 marks] ( ko f )' (2 )