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

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

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

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

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derivative of

t^{\frac{1}{3}}

\frac{1}{3 t ^{\frac{2}{3}}}

Solution steps

\frac{d}{d t} (t^{\frac{1}{3}})

Apply the Power Rule:

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

= \frac{1}{3} t^{\frac{1}{3} - 1}

Simplify

\frac{1}{3} t^{\frac{1}{3} - 1} : \frac{1}{3 t ^{\frac{2}{3}}}

= \frac{1}{3 t ^{\frac{2}{3}}}

x \to π lim (csc^{2} (x))

\frac{\partial}{\partial x} (\frac{1}{b} \cdot (a - p (b, x)))

\frac{d}{d x} (\frac{3 x}{9 - x ^{2}})

t^{3} - 3 t

x \to 3 lim (\frac{2}{x + 2})

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