What is the derivative of 9x^{1/3} ?

The derivative of 9x^{1/3} is 3/(x^{2/3)}

What is the first derivative of 9x^{1/3} ?

The first derivative of 9x^{1/3} is 3/(x^{2/3)}

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derivative of

9 x^{\frac{1}{3}}

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

Solution steps

\frac{d}{d x} (9 x^{\frac{1}{3}})

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= 9 \frac{d}{d x} (x^{\frac{1}{3}})

Apply the Power Rule:

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

= 9 \cdot \frac{1}{3} x^{\frac{1}{3} - 1}

Simplify

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

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

x \to 10 lim (x)

\frac{d}{d x} (ln (x) + sin (π x))

\int \frac{5 x ^{2} - 11 x + 5}{x ^{3} - 4 x ^{2} + 5 x - 2} d x

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

x \to 2 lim (\frac{1}{x ^{3}})

What is the derivative of 9x^{1/3} ?
The derivative of 9x^{1/3} is 3/(x^{2/3)}
What is the first derivative of 9x^{1/3} ?
The first derivative of 9x^{1/3} is 3/(x^{2/3)}