i need the problems ansewer and to show the work for the following problems 8,9 and 10 and it it not homework or anything related

Math 2411 / Fall 2018 / Student's Name: 3A,\"! [Mbm Midterm 1 (Take-home 30%) / Due September 17 / Instructor: Youn-Sha Chan Problem(8) (5 points) Given function g(x) = \\/ 2x + 7, evaluate the following limit: lim 9(96 + h) * 9(x) = 7 h>0 h Problem(9) (10 points) Use the limit denition to show that the derivative of cosx is sin :c. That is, prove that cos' a: = sin :3. Problem(10) (5 points) Use the quotient rule to show that the derivative of cot($) is csc2(:c). That is, prove that % cot(x) = csc2(a:)