Directions: Answer the following items completely. Show your PROPER and COMPLETE solution. A. Find the derivative of the following functions. (2 marks each) JanH21: 1. f(x) = x2_1 2. y = 3:2 sin 21:: 3. F(x) = (2x + 3)(4x + 5)2 4. H(x) = cos3(2x2 3) x+1 B. Find the equations of the tangent lines to the graph of the equation f (x) = xI that are parallel to the line 2y + x = 6. (5 marks) 1 C. Given the function f(x) = (5x2 + 3x - 1)? (i is the exponent), compute f"(2). (3 marks) D. Find the derivative of the following functions using the Differentiation Theorem (Derivative Rule). then prove your answer using the difference quotient