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Interpreting a Derivative in Context

Avg difficulty 2.5

A car leaves an intersection. The distance it travels in miles is given by the function f( t ), f \left(t\right) , where t t represents hours. Explain the following notations:

  1. ⓐ f(0)=0 f \left(0\right) = 0
  2. ⓑ f ′ (1)=60 f^{'} \left(1\right) = 60
  3. ⓒ f(1)=70 f \left(1\right) = 70
  4. ⓓ f(2.5)=150 f \left(2.5\right) = 150

OpenStax Precalculus 2e, 12.4 Derivatives, exercise 14

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Adapted from College Algebra © 2021 Rice University. Licensed under CC BY 4.0. Sources: College Algebra 2e, Algebra and Trigonometry 2e, Precalculus 2e, College Algebra with Corequisite Support 2e. Imported at revision 4922e46.