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Derivative Question - Algebraic Function

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This is from a Trig/Calculus course...Explain FULLY:

If
F(x) = x^4 - 2x^3 + 4x^2 - 9

Note: ^ indicates exponant.

Find F prime of x. It will be a derivative.

I need every step explained clearly as I have a bet riding on this! I need to be able to show every step in order to win my bet.

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Solution Summary

This is from a Trig/Calculus course...Explain FULLY:

If
F(x) = x^4 - 2x^3 + 4x^2 - 9

Note: ^ indicates exponant.

Find F prime of x. It will be a derivative.

Solution Preview

You need to Find F'(x), the first derevative of the fuction.
We know that,
d/dx (x^n) = n x^(n-1)
This is ...

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