20) Thinkwell | 201 Test 2: Chapters 3 Derivatives and 4 Computations The rate of production at ACME toys 9.5 hours can be determined from the production 8 hours formula P(t) = 1600t - 100t2, where P(t) 1.5 hours is the number of units produced in a given O .86 hours time and t is the time in hours since the factory shift began. At what time does the rate of toy production equal 1300 units per hour? 21 ) Suppose f (x) = 201. What is f' (x)? Of' (a) = 0.1x-1.1 Of' (2 ) = 0.1 x-0.9 Of' (2 ) = 0.9 x-0.9 Of' (2) = 1.1x1.1 22 ) Given y = (22 + 3x) (2x2 - 4x)?, O da - = 8(12 + 32)3 (2ac2 - 4ac) (42 - 4) + 6(2a2 - 4ac)2 (202 + 320)2 ( 2 2 + 3 dy find dx dy O dx = 2(22 + 3x)3 (2ac2 - 4ac) (4x - 4) + 3(2a2 - 42) 2 (202 + 3ac)2 (2x + 3 dy O da = 2(x2 4 3#) (2x2 - 42) + 3(272 - 42)2(22 +3x)2 dy O dx -= 6(202 + 320)" (22 2 - 4ac) (22 + 3) (42 - 4) 23) Find the derivative of f (x) . Of' (20) = 4202 f (2) = (202 -1) (202 + 1) Of' (20) = 4x Of' (20 ) = 42 3 Of' (20) = 4203 + 4x