) \ x a ` % $ M G B C 6 U X q E 5 D X C F r C U n M G L D X C F E U G r T = X 2 G B C l a $ " !. Acquiring Company T (the Target) by means of a cash offer for 100% of Company T shares You are unsure what price to offer because the value of Company T depends on the outcome of a major oil exploration project If the project fails, Company T will be worth nothing, but if it succeeds, shares of Company T could be worth up to $100. G'(x) = 2x^56x^3 We have G(x) = int_1^(x^2) (t^23t) \ dt If we let F(x) = int_a^x (t^23t) \ dt Then from the first part of the Fundamental Theorem of Calculus, we have F'(x) = x^23x " " 1 And from the second part of the Fundamental Theorem of Calculus, we have int_a^x (t^23t) \ dt = F(x) F(a) " " 2 Therefore, G(x) = F(x^2) F(a) " " from 2 Differentiating wrt x we.
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