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} x^{3})

- x^{2}

Solution steps

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

Simplify

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

= \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^{^{'}} - k y = a + b e^{- k t}, y (0) = 0

\int (- 7 sec (x) tan (x) + 8 sec^{2} (x)) d x

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

d er i v a t i v e f (x) = 2 ln (2 x)

\frac{d y}{d x} + x^{- 1} y = x^{- 1} cos (x) y^{- 2}

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