Find all relative extrema of the following function and show it in a table: F(x)=10-3x^2-36x+2x^3+4

Question:

Find all relative extrema of the following function and show it in a table: {eq}F(x)=10-3x^2-36x+2x^3+4{/eq}

Minima & Maxima:

If the maxima and the minima are solved with one of the two approaches, then whatever method we used, we get the same result. For the graphical method, we plot the points of extremes in the same plot as that of the curve.

Answer and Explanation:


The graph of the function is shown and the relative extremes are also shown below:


Figure


Bow the local minima is at:

{eq}(3,-67) {/eq}

and local extrema is at:

{eq}(-2,58) {/eq}


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Finding Minima & Maxima: Problems & Explanation

from General Studies Math: Help & Review

Chapter 5 / Lesson 2
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