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

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Answer 1 · 2017-02-13T09:43:08

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

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

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

Applying the Power Rule

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

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

How do you use the power rule to differentiate f(x)=x^3-x^2-5x+8-1/x^5f(x)=x3−x2−5x+8−1x5f(x)=x^3-x^2-5x+8-1/x^5?