Maths mst

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Question – 2: Consider the function,f(x) = (2/x+2)+4exp(-2x).

(a) Find the area under the graph,A,and the average value,W, of the function,f(x),in the interval,[2,5].

(b) Find, f'(x), f''(x-2),and,f'(0) .

(c) If, g(x) = x^2-1,find f(g(x)),and
d/dx(f(g(x)) ?

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