Lesson 4 - Quotient Rule Practice Questions 5. Differentiate. 6. Determine the slope of the tangent to each -x+3 b) y = 4x + 1 curve at the indicated value of x. al y= - 2x2 +5 x3- 2 a) y= 6.x + 2 9x2 - 1 ( y= = d) y =. 1+ 3x x-x+1 b) y= 3x2 - 1' * =1 4x + 1 () y= Y2- 1 x=-3 9. Determine the equation of the tangent to the curve y = at the point where x = -1. 10. Alison has let her hamster run loose in her living room. The position function of the hamster is s(t) = St 12 + 4' -,120, where s is in metres, and f is in seconds. a) How fast is the hamster moving after 1 s? b) When does the hamster change direction? 13. The value of an original Rezoning and Proving painting f years after it Representing Selecting Tools is purchased is modelled Problem Solving by the function onnetting Vin =(2300 + 0.2t) (1 + +) VO.5t + 2 where V is in dollars, and $20. a) What was the purchase price of the painting? b) Determine the rate of change of the value of the painting after f years.