Explanation Use online graphing calculator to plot the graph of the function f ( x ) = 3 x 6 − 5 x 5 + x 4 − 5 x 3 − 2 x 2 + 2 as shown in below Figure 1 and Figure 2. In the aboveFigure 1 and Figure 2 the point ( 0 , 2 ) is a point of local maxima and ( 1.62 , − 19.18 ) and ( − 0.23 , 1.96 ) are points of local minima . Also graph shows that there is no asymptote to the graph. Differentiate the given function with respect to x . f ( x ) = 3 x 6 − 5 x 5 + x 4 − 5 x 3 − 2 x 2 + 2 f ′ ( x ) = 18 x 5 − 25 x 4 + 4 x 3 − 15 x 2 − 4 x = x ( 18 x 4 − 25 x 3 + 4 x 2 − 15 x − 4 ) Therefore, f ′ ( x ) = 18 x 5 − 25 x 4 + 4 x 3 − 15 x 2 − 4 x

2nd Edition

ISBN: 9781337772198

Author: Stewart

Publisher: VST

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Chapter 4, Problem 27RE

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To sketch: The graph of the given function f(x)=3x6−5x5+x4−5x3−2x2+2 so that all the important aspects of the graphs are visible.

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Chapter 4, Problem 26RE

Chapter 4, Problem 28RE

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The graph of the given function f ( x ) = 3 x 6 − 5 x 5 + x 4 − 5 x 3 − 2 x 2 + 2 so that all the important aspects of the graphs are visible.

Solution Summary: The author illustrates the graph of the given function f(x) with the help of online graphing calculator.

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To sketch: The graph of the given function f(x)=3x6−5x5+x4−5x3−2x2+2 so that all the important aspects of the graphs are visible.

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Chapter 4 Solutions