1- Differentiate. (4 marks) a- Y= 2 ex^2+1 b- Y= -2 sin2x c- Y= 3sin2x - cos 4x d- tanv(1-x) 2- Find f'(-1) for f(x) = 2x-3x, Express in exact form?(2 marks) 3- Determine f"(x). (4 marks) F(x)= cosx cotx Application 4- Find the question of the that is tangent to the curve y=-3 cos2x at x= It/6. Express with exact values. ( 3 marks) 5- A virus is spreading according to the function p(t) = 125(2) /4 , where p(t) is the number of people infected after t days. Round to whole numbers. (3 marks) a- How many people will be infected after 4 weeks? b- How fast will the virus be spreading after 4 weeks