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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derivative of

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

- \frac{2 x}{3}

Solution steps

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

Simplify

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

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

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}

\frac{d}{d x} (ln (9 x^{2} - 11))

(t cos (t))^{^{'}}

\int (x - 1) (x + 2) (x - 3) d x

f (x) = \frac{4 x}{x ^{3} + 5}

\int \frac{80}{64 - x ^{2}} 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