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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\frac{d}{d x} ((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 = e^{7 x} + 7 x e^{7 x}

f (x) = 6 e^{- 0.6 x}, at x = 4

\int (y - 1) d y

\int - 0.5 y d y

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)}