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An investor has a certain number of units of a new currency whose price is fluctuating...

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Basic Math

An investor has a certain number of units of a new currencywhose price is fluctuating periodically. The number of units thatthe investor holds, N(x), as a function of time x in days is givenby: N(x) = 2x ? + 5 The price of each unit, P(x), as a function oftime x in days is given by: P(x) = sin x 2 + 1 The total value ofthe investment, T(x), as a function of time x in days is given bythe number of units × the price of each unit: T(x) = N(x) · P(x) a)Find the total value of the investment at x = 5? 2 days. b) Findthe derivative of T(x). c) What is the instantaneous rate of changeof the total value of the investment at x = 5? 2 days?

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