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

The derivative of 1/3 x^2 is (2x)/3

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

The first derivative of 1/3 x^2 is (2x)/3

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\frac{d}{d x} (\frac{1}{3} x^{2})

\frac{2 x}{3}

Solution steps

\frac{d}{d x} (\frac{1}{3} x^{2})

Take the constant out:

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

= \frac{1}{3} \frac{d}{d x} (x^{2})

Apply the Power Rule:

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

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

Simplify

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

= \frac{2 x}{3}

y^{3} - (6 x + 6) + 3 x y^{2} \frac{d y}{d x} = 0

\int \frac{e ^{2 x}}{e ^{2 x} + 2} d x

\frac{d}{d x} (ln (\frac{1}{x - y}))

\int \frac{2 x + 11}{x ^{2} + x - 6} d x

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

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