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Produce graphs of $f$ that reveal all the importantaspects of the curve. In particular, you should use graphs of $f^{\prime}$and $f^{\prime \prime}$ to estimate the intervals of increase and decrease,extreme values, intervals of concavity, and inflection points.$$f(x)=x^{6}-15 x^{5}+75 x^{4}-125 x^{3}-x$$
$f(0)=0, f(1.38)=-126.382, f(3.62)=-128.618$ and $f(5)=-5$
Calculus 1 / AB
Chapter 4
APPLICATIONS OF DIFFERENTIATION
Section 4
Curve Sketching
Derivatives
Differentiation
Applications of the Derivative
Campbell University
University of Michigan - Ann Arbor
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Idaho State University
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with a fine crumb. We want to consider the function F. Of X. Because He goes exodus 6th, Next 15 X to the 5th Plus 75 x 4th -125 x. cubed And then -1. This is the function that we end up getting here. And we want to consider this is a square graph now. So zooming in here, we end up seeing that I'm gonna actually will be good for us to spread this out a little bit. So we're going to have our exercise go from about a negative 23 positive 20. Are you getting this graph here? We see. The functions can be decreasing from negative infinity to this value here and then it will be increasing. We'll also have some inflection points right here and here.
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