What is the derivative of (8x^3/3) ?

The derivative of (8x^3/3) is 8x^2

What is the first derivative of (8x^3/3) ?

The first derivative of (8x^3/3) is 8x^2

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\frac{d}{d x} (\frac{8 x ^{3}}{3})

8 x^{2}

Solution steps

\frac{d}{d x} (\frac{8 x ^{3}}{3})

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= \frac{8}{3} \frac{d}{d x} (x^{3})

Apply the Power Rule:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= \frac{8}{3} \cdot 3 x^{3 - 1}

Simplify

\frac{8}{3} \cdot 3 x^{3 - 1} : 8 x^{2}

= 8 x^{2}

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What is the derivative of (8x^3/3) ?
The derivative of (8x^3/3) is 8x^2
What is the first derivative of (8x^3/3) ?
The first derivative of (8x^3/3) is 8x^2