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

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

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

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

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

x^{2} - 1

Solution steps

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

Simplify

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

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

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

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

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

\frac{d x}{d x} = 1

= x^{2} - 1

x \to 0 lim (x^{3} - 4 x^{2})

\frac{\partial}{\partial z} (x z + e^{- x^{2} + y})

x \cdot (\frac{d y}{d x}) + y = 3

n = 1 \sum \infty 0. 5^{n}

\int_{- 6}^{6} x 36 - x^{2} d x

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