- Area = 2 Area = 1. Area = 3 6 7 Area = 7 Graph of f' The figure above shows the graph of , the derivative of a differentiable function f, on the closed interval 0 < x < 7. The areas of the regions between the graph of and the x-axis are labeled in the figure. The function f is defined for all real numbers and satisfies f (4) = 10. Let g be the function defined by g (x) = 5 – x². (a) Find the value of fo f' (x) dx. (b) Given that f (4) = 10, write an expression for f (x) that involves an integral. Use this expression to find the absolute minimum value of f and the absolute maximum value of f on the closed interval 0 < x < 7. Justify your answers. (c) Find Sg(x) d. (d) Find the value of f æf' (g(x)) dæ.

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