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Please help me with these questions (a) Differentiate the following functions with respect to x : (i) f (xx) = 4x -3 x 2 -

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Please help me with these questions

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(a) Differentiate the following functions with respect to x : (i) f (xx) = 4x -3 x 2 - 2 ( 3 marks ) (ii) 8 (x =(6x +1)(x-3)8 ( 3 marks ) (ii) h (x ) = (2x2 -1) cos3x ( 3 marks ) (iv) p(x) - sin ' (x3-x) ( 3 marks ) ( v) q(x)sex 3x2 ( 3 marks ) (vi) r(x) =3In (6x2 -1) ( 3 marks ) (b) By using implicit differentiation, calculate the slope of the curve x'el ty=x at the point (1,0) . ( 7 marks ) Question 2 Evaluate (a) (4x - x+5) dx ( 2 marks ) (b ) ( 2x? - 3x' + 1 ) ( 3 marks ) 4x2 ( c) [x (x3 + 2) dx ( 5 marks ) (d) 3 X dx ( 5 marks )

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