What is the derivative of (x^3/x) ?

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

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

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

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Popular >

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

2 x

Solution steps

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

Simplify

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

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

Apply the Power Rule:

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

= 2 x^{2 - 1}

Simplify

= 2 x

x \to 0 + lim (sin (3 x) ln (x))

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