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Help me use the first derivative test and solve this calc problem?

The Problem:

__________

Find the x-values of all points where the following function, f(x)= 3x^4 + 1/3(x^3) - 44x^2 + 15 has any relative maxima or relative minima using the first derivative test. Then find the value of any relative maxima or relative minima writing the answers in order pair form.

Relative maxima or relative minima or critical points are:

__________

I could not complete the whole problem, and I got stumped half way through. Can somebody please work the whole problem and show me how to do it to make sure I am doing this correctly.

Thanks.

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