Consider the function: f(x) =3/4x^4 - x^3 -3x^2 + 6x

Find the relative extrema for f(x); be sure to label each as a maximum or minimum. You do not need to find function values; just find the x-values.

Question

Consider the function: f(x) =3/4x^4 - x^3 -3x^2 + 6x

Find the relative extrema for f(x); be sure to label each as a maximum or minimum. You do not need to find function values; just find the x-values.

dtan5457 · Answer

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dtan5457 · Answer

Do you know where the extrema is?

nathanjhw · Answer

At the highest or lowest point.

dtan5457 · Answer

Maximum

dtan5457 · Answer

Minimum

nathanjhw · Answer

Now how would you find that without looking at a graph?

dtan5457 · Answer

http://www.dummies.com/how-to/content/how-to-find-local-extrema-with-the-first-derivativ.html Honestly, I haven't learned that yet.

nathanjhw · Answer

When I looked into it, it looks as if you need to use the power rule. So you do (d/dx) (3/4x^4 - x^3 -3x^2 + 6x) to get 3x^3 -3x^2 -6x +6. I know you need to get the roots next to get the answer, but you can explain how to do that again?

nathanjhw · Answer

Actually I was able to figure it out. Thank you for your help.