Find the indicated derivative of each function. 1. l13/[c052(4x)] dx 2. 2:[x3V2x+ 1] '2 _ 5' 3. [11 [ 3x'sec(x)] '12! 2 7 4. Wm): +5) ] dzy 3x ml .2\" 1 Find 5; by differentiating implicitly 6. 31231::y+x2 =7 7. y = 4sin(y) esx + 226 Find the equation ofthe tangent line to the graph of f(x) at the point where x =1 8. f(x) = x3 + 3x2 Z Find the points on the graph where the tangent line is horizontal. (Round to nearest 10'" if needed) 9. f(x) = ix' + 4x3 + 5x2 + 10 The position equation for the movement of an object is given by s(t) = 5132 (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 of the object at4 seconds. 12. Find the speed of the object at 1 second.