3. Find the derivatives of the following functions. (a) (5 points) f(a) = In( x2-1) x2 +1 (b) (5 points) g(a) = 3 sin(4x) + 4 tan( 1 + 23 4. Microtutorial The equation of motion of a particle is s = 2t3 - 7+2 + 4t + 1 Where s is in meters and t is in seconds. (a) (6 points) Find the velocity and acceleration as functions of t. (b) (4 points) Find the acceleration after 1 second. 5. (10 points) If y = cos-1(2x) compute dy and find the equation for the tangent line at x, = 13. You may leave your answers in point-slope form. 6. (10 points) A kite 30 meters above the ground moves horizontally at a speed of 6 m/s. At what rate is the length of the string increasing when 50 meters of string has been let out