What is (\partial}{\partial x}(\frac{x^3)/3) ?

The answer to (\partial}{\partial x}(\frac{x^3)/3) is x^2

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(\partial}{\partial x}(\frac{x^3)/3)

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

x^{2}

Solution steps

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

Take the constant out:

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

= \frac{1}{3} \frac{\partial}{\partial 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}

x \to 0 lim (4 x^{2})

\int \frac{x}{( x ^{2} + 1 ) ^{\frac{25}{2}}} d x

\frac{d}{d x} ((2 x^{- 1})^{2})

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

4 e^{\frac{2 t}{3}}

What is (\partial}{\partial x}(\frac{x^3)/3) ?
The answer to (\partial}{\partial x}(\frac{x^3)/3) is x^2