3 3. [2] An investment of $10,000 earns interest at an annual rate of 7% compounded continuously. a) Find the instantaneous rate of the change of the amount in the account after 1 year. Round answer to two decimal places. Give an interpretation of the answer. b) Find the instantaneous rate of change of the amount in the account at the time the amount is equal to $12,000. Give an interpretation of the answer. 4. [3] Use the function given in #1b to answer the following: a) Find the value(s) of x where the tangent line is horizontal. b) Find the equation of line tangent to the graph of g(x) at x = 0. Leave answer in exact form (no decimal).1. [4] Find the derivative for the following functions. Simplify as much as possible. a) f(x) = -12In(x) + 11x2 -1lex b) g(x) = 4ex2-5x+4 c) y = (8+9x - 3x2)ex d) f ( x ) = 6x2+7 2. [6] Find the derivative for the following functions. Simplify as much as possible. a) f (x) = 315x3 - 2x b ) g(x) =-5x2e*+3x c) h(x) = (2x4 - 8)9 In (2x2 + 1)