Given the function asin 0 f(x)= 2=0 determine whether f'(0) exists. 2. Find the derivative of f(x) = 3r+7√. State the domain of f and f'. Make sure to show all of your work. Use the rules learned in class to solve the derivatives. 1. For what value(s) is the tangent line to the graph of f(x) = 4x¹³ - 30x² +47 +48 parallel to the line y = -x +0.7? 2. If a ball is thrown vertically upward from the roof of a building 32 feet tall with a velocity of 64 ft/s, it's height after t seconds is s(t) = 32+64t-16t². a. What is the maximum height the ball reaches? b. What is the velocity of the ball when it hits the ground (height 0)?