Please scroll down and try to answer all parts until you get to "END OF THIS QUESTION". yntax advice: Use Maple syntax throughout this question except for essay boxes in which Maple syntax is not required. You can use the preview button next to any entry field to make sure that your syntax is correct. Bhuvanish has a favourite continuous odd function g: [1, l] ) R which they want to keep a secret. Last night, Bhuvanish was studying a new function f: {1, 1] > R defined by faith ifme [0,1] Bhuvanish knows that f is continuous on [1, 1] but is unsure about its differentiability on (1, 1). (a) Help Bhuvanish justify why f(:1:) is differentiable for a: E (1, 0) U (0, 1). Make sure you name all the relevant theorems you used. = A u/Aweta Essay box advice: In your explanation, you don't need to use exact Maple syntax or use the equation editor, as long as your expressions are sufficiently clear for the reader. For example, you can write a: W) . . a: = dtas'fx=mteral t/93 t"20 fromOtox', ) /093+t20 () g g()( + ) . [93, 00) as '[93,infinity)'. (b) Do you think that f differentiable at a: = 0? Give reasons. 02...? a :: ['E'ii'tiQE: 42:22:22 |l||||l E92?\" Avmvr BIqu.xE (c) When Harley asked Bhuvanish about their favourite function g, Bhuvanish just gave Harley the function f above and stated that at) = 7 + cosh(62:z:). Equipped with this information, we can deduce that Bhuvanish's favourite function is 9(m) = @ END OF THIS QUESTION Please Navigate to the end of the Exam if you wish to submit