What is the derivative of (x+2)^{2/3} ?

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

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

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

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derivative of

(x + 2)^{\frac{2}{3}}

\frac{2}{3 ( x + 2 ) ^{\frac{1}{3}}}

Solution steps

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

Apply the chain rule:

\frac{2}{3 ( x + 2 ) ^{\frac{1}{3}}} \frac{d}{d x} (x + 2)

= \frac{2}{3 ( x + 2 ) ^{\frac{1}{3}}} \frac{d}{d x} (x + 2)

\frac{d}{d x} (x + 2) = 1

= \frac{2}{3 ( x + 2 ) ^{\frac{1}{3}}} \cdot 1

Simplify

= \frac{2}{3 ( x + 2 ) ^{\frac{1}{3}}}

y = \frac{( x - 2 )}{( x - 3 )}

6 e^{5 t} cos (2 t) - e^{- 7 t}

\int_{1}^{1000} \frac{1}{x ^{3}} d x

\frac{v ^{3} + 1}{v}

\frac{\partial}{\partial u} (ln (u cos (v)))

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