Please help with these practice problems calculus.

9. (15 marks) Find y'. You do not need to simplify your answer. (b) y = tan{:t:2) 15 cos1(e'\"). (c) y = (sin7 3;) log4(33: + 2). 7 7. (4 marks) Use the Intermediate Value Theorem to show that the equation ex+" + 8sinx -2 =0 has at least one real root. 8. (6 marks) Use the definition of derivative to find the derivative of f (x) = 1 Vac + 5'2 1. (5 marks) If tan x = 5 4 and sin y = =, where x and y are in the interval [?, " ], evaluate sec(x + y). 12 2. (6 marks) Find all values of x in the interval [0, 27] that satisfy the equation: 3 cos x + 1 = cos 2x