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Show all working 10. If g(x) 5 then, g x 1 -2 (a) 5 (b) 10x 8x 1 x2 1 2 (c) 30x (d) 15

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10. If g(x) 5 then, g x 1 -2 (a) 5 (b) 10x 8x 1 x2 1 2 (c) 30x (d) 15 1 x2 1 x2 11 . d 9 100 1 dt (a) 9099 t (b) 90099 (c) 900100 (d) 9100 1 12. Find the gradient at the point x 10 on the graph of y 2 4x 9 (a) (b) 19 (c) 1 (d) 15 = 13. If g(x) be" then g (x) (A) 20e* 5 (B) 20ex (C) 4e4x (D) 20e dy 14. Given that , then dx (A) 3x2 2x 3 (B) 3x2 2x 3 (C) 3x2 x 2 (D) 3x 2x20. If f(x) In(x 3x 5), then (A) S (x) In(2x 3) J (x) 2 (B) 2x 3 2 J (x) 2x 3 (C) 2x 3 (D) J (x) x 3x 5 21. Given that y VI x2 then the gradient function is equal to: 1 x2 (a) (b) (c) x1 x2 2 2 2 (d) 2x(1 2x3 ) ? 22. The first derivative of the function f(x) 3e"* * is: 302x 4 (a) 302 4 2x (b) 2 (c) 6xe2 4 (d) 602 4 23. The gradient of the curve f(x) " ' at x = 0 is (a) 2e (b) 2e" (c) 2 (d) 0 24. Find the second derivative of the function g(x) 6x* 2x' 6 A. 24x3 6.x2 B. 72x2 12x C. 24x 6.x D. 24x3 6x2 6 25. Given that f(x) (Inx)(Inx) then / (x) is equal to : (a) HIN (b) 2Inx (c) (In.x) 2In.x 2x (d) X 26. If f(x) In(5x ) then f (x) equal to : (a) 2 (b) (c) HIN (d) In(10x) 27. If y (x 2) then dy x 2 equal to : dx 4 (a) 4 (b) 4 x 2 (c) (d) 0 X 2 x 2 28. Given that y 1 x then dy is equal to: dx (a) 8 1 x2 (b) 6x 1 x3 (c) 6x 1 2 3 (d) 8x 1 x 1 4

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