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Use the guidelines of this section to sketch the curve.$$y=x \sqrt{5-x}$$
There is no inflection point
Calculus 1 / AB
Chapter 4
APPLICATIONS OF DIFFERENTIATION
Section 4
Curve Sketching
Derivatives
Differentiation
Applications of the Derivative
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for the time problem. Who want to use the guidelines of this section to sketch the curb Fx equals attempt the square root sex. So with this we have the domain being from negative infinity to five. As we can see here. But without looking at the graph, we see that the intercepts. I wait and plug in zero and get zero. We can also plug in five and get zero. So those are gonna be the intercepts. We also want to use um F crime, we know that X can't be greater than five. So we're gonna look at it from attacks and see that The function is going to be increasing until it reaches 3.333. So we see that Um x equaling 3.3 repeating is going to be a local maximum. So we end up getting that. And then we can also look at the second derivative to see that the function is always contact down. So with all this information, we end up getting our final graph right here with the maximum as expected at X equals 3.3 repeating
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