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Home Q & A Board Science-Related Homework Help Mathematics
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Elsa Marie Elsa Marie
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11 years ago Edited: 11 years ago, Elsa Marie
Use a graphing utility to graph (fx)= x3 -5x+4 on the interval (-2,2) and approximate any local maximum and local minimum.

The local maximum is y ~____   and it occurs at x ~________

The local minimum is y ~_____ and it occurs at x ~_________

Post Merge: 11 years ago

that is f (x) = x exponent 3 minus 5x plus 4
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#1
Valued Member
11 years ago
to plot using any graphic utility, you can use wolfram alpha
http://www.wolframalpha.com/input/?i=x%5E3+-5x%2B4%3D0

for local maxima and minima,find d/dx of f(x)
= 3x^2-5 and equate it to zero
gives
x=+/- sqrt(5/3)
so local maxima as you can see from graph is at x = -sqrt(5/3) and put x=this value in your original function to get value of  y at that x
same way, put x =+sqrt(5/3) to get value of y at that x, and as you can see from graph, it is local minima
I don't feel like riding until everything blurs.

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Elsa M. Author
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#2
11 years ago
thank you  Slight Smile
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