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How do you use the power rule to differentiate #f(x)=x^3-x^2-5x+8-1/x^5#?

1 Answer

Feb 13, 2017

#f'(x) = 3x^2-2x-5+5/x^6#

Explanation:

#f(x) = x^3-x^2-5x+8-1/x^5#

#= x^3-x^2-5x+8-x^-5#

Applying the Power Rule

#f'(x) = 3x^2 - 2x -5 +0 - (-5)x^-6#

#= 3x^2-2x-5+5/x^6#

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