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07/23/10(Fri)00:22:40 No.256174XXXConsider the function, f(x)=ln(3x^2+5x-2), and, g(x)= sqrt(3x^2+5x-2)
(a) Find the domain of f(x) and g(x). Prove that, g’(x)/f’(x) = g(x) / 2.
(b) If, h(x)= exp(x), find the area, A, under the function h(f(x)), in the interval, [1,5].
(c) If, h(x)=x-1, and k(x)=g(h(x)) Find the domain of k(x). Find k’(x^2),k’(2). |