What is the derivative of (x^9)/(x^3) ?

The derivative of (x^9)/(x^3) is 6x^5

What is the first derivative of (x^9)/(x^3) ?

The first derivative of (x^9)/(x^3) is 6x^5

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derivative of

\frac{x ^{9}}{x ^{3}}

6 x^{5}

Solution steps

\frac{d}{d x} (\frac{x ^{9}}{x ^{3}})

Simplify

\frac{x ^{9}}{x ^{3}} : x^{6}

= \frac{d}{d x} (x^{6})

Apply the Power Rule:

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

= 6 x^{6 - 1}

Simplify

= 6 x^{5}

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What is the derivative of (x^9)/(x^3) ?
The derivative of (x^9)/(x^3) is 6x^5
What is the first derivative of (x^9)/(x^3) ?
The first derivative of (x^9)/(x^3) is 6x^5