What is the derivative of x^5+8 ?

The derivative of x^5+8 is 5x^4

What is the first derivative of x^5+8 ?

The first derivative of x^5+8 is 5x^4

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derivative of

x^{5} + 8

5 x^{4}

Solution steps

\frac{d}{d x} (x^{5} + 8)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (x^{5}) + \frac{d}{d x} (8)

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

\frac{d}{d x} (8) = 0

= 5 x^{4} + 0

Simplify

= 5 x^{4}

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