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Academics – Mathematics : 2014/DEC/07

Question

Q7. (a) Determine the first and second derivatives of the function: (6)

u = (1 + 4t)/√t

(b) Use differential calculus to determine EACH of the following for the function y = x³ - 12x + 8

(i) the coordinates of the turning points; (7)

(ii) the nature of the turning points. (3)

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