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could you do just question 5a in the first picture could you do all 3 parts in this question 5. (a) Differentiate the following functions:

image text in transcribedcould you do just question 5a in the first picture
image text in transcribedcould you do all 3 parts in this question
5. (a) Differentiate the following functions: (i) y = 4x^ - 2x2 + 28 [2] (i) f(x) =+Vx [2] (iii) Consider the function: y = 3x2 - 4x + 5 (a) Find the slope of the function at x = 4, and x = 6 [3] (b) What would you expect the second-order derivative to be at x = 42 Use the answer from part (a) to justify your answer. [3] (b) If a demand equation is given by: aubte (1) Find an expression for marginal revenue [5] (ii) Find the marginal revenue when the output, Q = 36. If a > 0, and b > 0, show that the change in total revenue brought about by a 16 unit increase in Q is [2] (b) (1) Show that the following function is homogenous and state its degree of homogeneity. K2 +22 Q K+L (ii) Does this production function display increasing, decreasing or constant returns to scale? 141 Find the output when K=15, and when L-25

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