What is the derivative of x^5-6 ?

The derivative of x^5-6 is 5x^4

What is the first derivative of x^5-6 ?

The first derivative of x^5-6 is 5x^4

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\frac{d}{d x} (x^{5} - 6)

5 x^{4}

Solution steps

\frac{d}{d x} (x^{5} - 6)

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (x^{5}) - \frac{d}{d x} (6)

\frac{d}{d x} (x^{5}) = 5 x^{4}

\frac{d}{d x} (6) = 0

= 5 x^{4} - 0

Simplify

= 5 x^{4}

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