What is the derivative of x^3+5 ?

The derivative of x^3+5 is 3x^2

What is the first derivative of x^3+5 ?

The first derivative of x^3+5 is 3x^2

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derivative of

x^{3} + 5

3 x^{2}

Solution steps

\frac{d}{d x} (x^{3} + 5)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (x^{3}) + \frac{d}{d x} (5)

\frac{d}{d x} (x^{3}) = 3 x^{2}

\frac{d}{d x} (5) = 0

= 3 x^{2} + 0

Simplify

= 3 x^{2}