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Using a graphing calculator to find local extrema of a polynomial function

Using a graphing calculator to find local extrema of a polynomial function-example-1

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The given function is:


f(x)=3x^4-5x^3-4x^2+5x-2

By using a graphing calculator, we found that the local maximum is located at:

x=0.41, then f(0.41)=-0.88

The answer is (0.41, -0.88)

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