What is the derivative of 5x^3+2 ?

The derivative of 5x^3+2 is 15x^2

What is the first derivative of 5x^3+2 ?

The first derivative of 5x^3+2 is 15x^2

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derivative of

5 x^{3} + 2

15 x^{2}

Solution steps

\frac{d}{d x} (5 x^{3} + 2)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (5 x^{3}) + \frac{d}{d x} (2)

\frac{d}{d x} (5 x^{3}) = 15 x^{2}

\frac{d}{d x} (2) = 0

= 15 x^{2} + 0

Simplify

= 15 x^{2}

What is the derivative of 5x^3+2 ?
The derivative of 5x^3+2 is 15x^2
What is the first derivative of 5x^3+2 ?
The first derivative of 5x^3+2 is 15x^2