Hello I need some help with these 2 questions. If you could please show me all your work on a separate sheet of paper with the solutions/answers that would be great!

Find the derivative for each of the following functions. When possible, always simplify the original function first before finding the derivative. 1. Determine the derivative of the following functions. You can use the derivative rules from this section and not find these derivatives by first principles. Simplify first, if necessary, and then find the derivative. a. f(x) = 3x2 - 5x5 + 20x9 + 7 b. 8 (x ) = 2Vx - Vx + Vx - x-3 c. p(x) = 3* - 2et - sin(2x) + 3 cosx d. m(x) = (3x + 2)2 e. s ( 1) = 41'+ 314 f. y = 3x2 (4x5 - 2x3) 2. Using the definition of derivative, prove the constant multiplier rule. That is, prove the derivative of g(x) = c f(x) is g'(x) = cf'(x). Follow the same format that was used in the content section to prove the derivative of a constant rule