Finding and Analyzing Derivatives Using Technology In Exercises 49-54, (a) use a computer algebra system to differentiate the function, (b) sketch the graphs of f and f ' on the same set of coordinate axes over the given interval, (c) find the critical numbers of f in the open interval, and (d) find the interval(s) on which f ' is positive and the interval(s) on which f ' is negative. Compare the behavior of f and the sign of f ' . f ( x ) = 10 ( 5 − x 2 − 3 x + 16 ) , [ 0 , 5 ]
Finding and Analyzing Derivatives Using Technology In Exercises 49-54, (a) use a computer algebra system to differentiate the function, (b) sketch the graphs of f and f ' on the same set of coordinate axes over the given interval, (c) find the critical numbers of f in the open interval, and (d) find the interval(s) on which f ' is positive and the interval(s) on which f ' is negative. Compare the behavior of f and the sign of f ' . f ( x ) = 10 ( 5 − x 2 − 3 x + 16 ) , [ 0 , 5 ]
Solution Summary: The author explains how the Ti-83 calculator can be sued to plot the graph of both the functions.
Finding and Analyzing Derivatives Using Technology In Exercises 49-54, (a) use a computer algebra system to differentiate the function, (b) sketch the graphs of f and
f
'
on the same set of coordinate axes over the given interval, (c) find the critical numbers of f in the open interval, and (d) find the interval(s) on which
f
'
is positive and the interval(s) on which
f
'
is negative. Compare the behavior of f and the sign of
f
'
.
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Differential Equation | MIT 18.01SC Single Variable Calculus, Fall 2010; Author: MIT OpenCourseWare;https://www.youtube.com/watch?v=HaOHUfymsuk;License: Standard YouTube License, CC-BY