It is known that function f is an increasing function that satisfies f(0) = 2 and f'(0) = -2. Use this information to compute 1'(2). 2 -2 1 O 2 -12

The formula for the amount A in an investmentaccount with a nominal interest rate r at any timet is given by A(t)=a(e)rt, where a is the amount ofprincipal initially deposited into an account thatcompounds continuously. Prove that the percentageof interest earned to principal at any time t can becalculated with the formula I(t)=ert1.

Repeat the previous exercise to find the formula forthe APY of an account that compounds daily. Usethe results from this and the previous exercise todevelop a function I(n)for the APY of any accountthat compounds n times per year.

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Consider the following function: f(x) = 2 8 - 9 - Step 1 of 4: Determine f'(x) and f "(x).

Find the interval where the function is increasing. Find the interval where the function is decreasing. Step 1 If f(x) = then f '(x) = (x² – 4)'