What is the derivative of (x^5)/3 ?

The derivative of (x^5)/3 is (5x^4)/3

What is the first derivative of (x^5)/3 ?

The first derivative of (x^5)/3 is (5x^4)/3

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derivative of

\frac{x ^{5}}{3}

\frac{5 x ^{4}}{3}

Solution steps

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

Take the constant out:

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

= \frac{1}{3} \frac{d}{d x} (x^{5})

Apply the Power Rule:

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

= \frac{1}{3} \cdot 5 x^{5 - 1}

Simplify

\frac{1}{3} \cdot 5 x^{5 - 1} : \frac{5 x ^{4}}{3}

= \frac{5 x ^{4}}{3}

What is the derivative of (x^5)/3 ?
The derivative of (x^5)/3 is (5x^4)/3
What is the first derivative of (x^5)/3 ?
The first derivative of (x^5)/3 is (5x^4)/3