The median home price in the united states over the period 2003-2011 can be approximated by p(t) = −5t2 + 75t − 30 thousand dollars (3 ≤ t ≤ 11), where t is time in years since the start of 2000.† find p'(t) and p'(5).

and P'(5) = 25.

Step-by-step explanation:

We are given that,

The median home price is represented by the function, .

So, differentiating the function with respect to 't', we get,

i.e.

So, after subsituting 't=5', we get,

i.e. P'(5) = -50+75

i.e. P'(5) = 25

Hence, we get,

and P'(5) = 25.

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step-by-step explanation:

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