Note: Write all functions in Scala using a strict functional paradigm. perform the necessary calculations.

Question 1 The derivative of a function f at x (denoted by f'(x) is defined as: 2 The nth derivative at x. f"(x), is then defined to be as follows: f(n)(r) = lin f(n-1) (z + e) _ f(n-1)(x-e) You are to implement a function which takes a function f, an integer n and a double x as parameters, and returns f)(x) Note: Instead of exactly calculating the limit as 0, set 10-5 and perform the necessary calculations. Question 1 The derivative of a function f at x (denoted by f'(x) is defined as: 2 The nth derivative at x. f"(x), is then defined to be as follows: f(n)(r) = lin f(n-1) (z + e) _ f(n-1)(x-e) You are to implement a function which takes a function f, an integer n and a double x as parameters, and returns f)(x) Note: Instead of exactly calculating the limit as 0, set 10-5 and perform the necessary calculations