3.5.2 Differentiation (A-level only)

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91

Question 65

The depth of water in an experimental filtration vessel, $D\,$ centimetres, varies according to the radius of the sediment layer $r\,$ millimetres, such that $D = (2r^3 + 9r^2)^4$ . Determine the rate of change of the depth with respect to the radius, $dDdr\displaystyle \frac{dD}{dr}$ .

[3]

3.5.2 Differentiation (A-level only)

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91

Question 65

The depth of water in an experimental filtration vessel, $D\,$ centimetres, varies according to the radius of the sediment layer $r\,$ millimetres, such that $D = (2r^3 + 9r^2)^4$ . Determine the rate of change of the depth with respect to the radius, $dDdr\displaystyle \frac{dD}{dr}$ .

[3]

3.5.2 Differentiation (A-level only)

Question 65

3.5.2 Differentiation (A-level only) Questions

3.5.2 Differentiation (A-level only)

Question 65

3.5.2 Differentiation (A-level only) Questions