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

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

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

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

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

x^{2}

Solution steps

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

Take the constant out:

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

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

Apply the Power Rule:

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

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

Simplify

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

= x^{2}

y^{^{''}} - 2 y^{^{'}} = 8 x + e^{x}

\int (x + 1)^{\frac{1}{3}} d x

\int \frac{8 x ^{3} + 2 x + 2}{2 x + 1} d x

\frac{d}{d x} (ln (\frac{x ^{2} sin ( x )}{2 x + 1}))

2 x^{3} + x^{2} - x - 1, x^{3} + 2 x^{2} + 5 x - 1

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