1. Suppose that an object moves along the y axis so that its location is y = f(x) = 23 -6x2 +9x at time x (y is in meters, x is in seconds). (a) Compute the velocity v(x) = f'(x), find the time(s) when the object is at rest. (b) Find out when the object is moving forward, backward. 2. Finding the derives for functions below: (a) y = 3x4 - 6x2 - 7, Find values of a where the tangent line is horizontal. (b) f(z ) = 3x2 7 2 52-2 (c) f(x) = 20* + 1