What is the derivative of 1/3*x^3 ?

The derivative of 1/3*x^3 is x^2

What is the first derivative of 1/3*x^3 ?

The first derivative of 1/3*x^3 is x^2

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

x^{2}

Solution steps

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

f (x) = e^{\frac{x}{( x - 9 )}}

\frac{d}{d s} (\frac{2 s ^{2}}{( s - 6 ) ^{3}})

\frac{1}{t} \frac{d y}{d t} - \frac{1}{1 + t ^{2}} = 0, y (0) = 1

t \to 0 lim (\frac{1}{2} e^{- 2 t})

\frac{\partial}{\partial x} (4 x + 6 y)

What is the derivative of 1/3*x^3 ?
The derivative of 1/3*x^3 is x^2
What is the first derivative of 1/3*x^3 ?
The first derivative of 1/3*x^3 is x^2