tions of the tangent lines to the curve y 4x-x at the points (2, 8) and (3, 9). 30. (a) If G(x) 4x-x find G'(a) and use it to find eq terval (b) Illustrate part (a) by graphing the curve and the tangent of change ines on the same screen 31-36 Find f(a) 31. f(x) 3x-4x + 1 32. f(r)=21 + 1 33. f) 2 1 1 +3 34. f(x) = 4 35. f(x) I2x 36. f(x) 37-42 Each limit represents the derivative of some function f some number a. State such an f and a in each case

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A: Topic:- function and it's Derivatives

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A:

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A: Please refer to the image below

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A: Given

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A: Explanation of the solution is given below...

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A: Note: The interval 'b' should be from 'second unlabeled' point to point A.