2. Determine the derivative of the function f (x) = 2x2e cos 2% . Express you answer in simplified factored form. Communication (12 Marks) 3. True/False. Indicate whether each statement is true (T) or false (F). (7 marks) a) The derivative of a sinusoidal function is another sinusoidal function. b) The graph f(x) = cos x has an infinite number of tangents with slope 1/2 c) The function g (x) = tan x is defined for all x E R d) The rate of change of g (x) = tan x is never negative. e) Another way of expressing In x is log. x. f) The nth derivative of y = ex will always be ex 9 ) . _Ify = ef(x) , then y' = ef'(x)