Find the indicated derivative of each function. 1. 2:[cosz(4x)] dxz day 3:: 5- m[ x2+11 Find 3: by dierentiatingimplicitly 6. _w,r23xy+x2 =7 7. y = 4sin(y) 35" + 2x Find the equation of the tangent line to the graph of fix) at the point where x =1 8. f(x) = x3 + 3x2 2 Find the points on the graph where the tangent line is horizontal. (Round to nearest 1r.lth if needed) 9. f(x) = ix\" + 4x3 + 5x2 + 10 The position equation for the movement of an object is given by 5(1') = 5t2 (4t 5)3 when s is measured in feet and t is measured in seconds. (Round to nearest 10'\" if needed) 10. Find the velocity of the object at 2 seconds. 11. Find the acceleration ofthe object at 4 seconds. 12. Find the speed of the object at 1 second.