The given graph shows the temperature T in F at Davis, CA, on April 18, 2008, between

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The given graph shows the temperature T in °F at Davis, CA, on April 18, 2008, between 6 a.m. and 6 p.m.image


a. Estimate the rate of temperature change at the times


i) 7 a.m. 


ii) 9 a.m. 


iii) 2 p.m. 


iv) 4 p.m.


b. At what time does the temperature increase most rapidly? Decrease most rapidly? What is the rate for each of those times?


c. Use the graphical technique of Example 3 to graph the derivative of temperature T versus time t.



Example 3


Graph the derivative of the function y = ƒ(x) in Figure 3.6a.


In Figure 3.6a.image

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Thomas Calculus Early Transcendentals

ISBN: 9780321884077

13th Edition

Authors: Joel R Hass, Christopher E Heil, Maurice D Weir

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