32) f(x)=5x sin x 34) 8(x) = 1 cos x sin x 33) f(x)= COSX x (Using the Quotient Rule) (Using the Quotient Rule) 35) f(x) = sec x The height (in feet) of a ball t seconds after it is thrown upwards from the roof of a building is given by h(t)=-16t + 40t+ 100 36) Find the height of the ball after 3 seconds. Include the units with your answer. 37) Find the velocity of the ball after 3 seconds. Include the units with your answer. 38) Find the acceleration of the ball after 3 seconds. Include the units with your answer. Find the derivative of each of the functions below. SIMPLIFY your answers. 39) f(x)=(5x-8) 40 42) f(x)= ( x- x+1) 40) g(x) = tan(x -9) 41) h(x)=10-x 5 43) f(x) = cot(cosx) 44) f(x) = cot x 45) In a small town, the number of people that are playing a new game t weeks after it is introduced is giv g(t) = 800t t + 8 Find the instantaneous rate of change in the number of people playing the game after four weeks and interpret the answer. (Round to the nearest unit.) Derivatives