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^{^{''}} + 4 y^{^{'}} = 0, y (0) = 1

\frac{\partial}{\partial x} ((x^{4} + x - y)^{7})

\int ln (3 x + 2) d x

sin^{7} (x)

\int - 2 + 12 x - 12 x^{2} d x

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)}