1.5. INTERPRETING, ESTIMATING, AND USING THE DERIVATIVE
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(b) In addition to the information given in (a), say that h(70000) = 11100. Determine the best possible estimate of h ′ (55000) and write one sentence to explain
the meaning of your result, including units on your answer.
(c) Which value do you expect to be greater: h ′ (30000) or h ′ (80000)? Why?
(d) Write a sentence to describe the long-term behavior of the function V = h(m),
plus another sentence to describe the long-term behavior of h ′ (m). Provide
your discussion in practical terms regarding the value of the car and the rate
at which that value is changing.
51
(b) In addition to the information given in (a), say that h(70000) = 11100. Determine the best possible estimate of h ′ (55000) and write one sentence to explain
the meaning of your result, including units on your answer.
(c) Which value do you expect to be greater: h ′ (30000) or h ′ (80000)? Why?
(d) Write a sentence to describe the long-term behavior of the function V = h(m),
plus another sentence to describe the long-term behavior of h ′ (m). Provide
your discussion in practical terms regarding the value of the car and the rate
at which that value is changing.