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

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

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

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

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derivative of

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

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

Solution steps

\frac{d}{d x} (\frac{x ^{4}}{3})

Take the constant out:

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

= \frac{1}{3} \frac{d}{d x} (x^{4})

Apply the Power Rule:

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

= \frac{1}{3} \cdot 4 x^{4 - 1}

Simplify

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

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

\int 5 x^{4} - 1 d x

\frac{d}{d x} (\frac{5}{x ^{19}})

\int x^{2} + x - 2 d x

y = e^{\frac{1}{x}}

n = 0 \sum \infty n! \cdot x^{n}

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