webwork/mth 124 s$18 87580/hw09/5 Hw09: Problem 5 Previous Problem List Next 1 p

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webwork/mth 124 s$18 87580/hw09/5 Hw09: Problem 5 Previous Problem List Next 1 point) Cet hese entenos et Let P(t) represent the price of a share of stock of a corporation at time t. What does each of the following statements tell us about the signs of the first and second derivatives of P(t) (a) The price of the stock is rising with decreasing speed fi.e. rising slower and slower). The first derivative of P(t) is The second derivative of P(t) is2 b) The price of the stock is just past where it bottomed out The first derivative of P(t)is ( ? #! The second derivative of P()is/7. Note: You can earn partial credit on this problem. Show me another Preview My Answers Submit Answers You have attempted this problem 0 times. You have 15 attempts remaining.

Explanation / Answer

We know that

P'(t) = the rate of change of P(t) with respect to t

and

P"(t) = the rate of change of P'(t) with respect to t

a) given the price of stock is falling slower and slower.

So,

The first derivative of P(t) is negative

and

The second derivative of P(t) is negative.

b) give the price of stock is just past where is bottomed out.

So,

The first derivative of P(t) is positive

and

The second derivative of P(t) is positive.

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