What is the derivative of (x+8^{2/3}) ?

The derivative of (x+8^{2/3}) is 2/(3(x+8)^{1/3)}

What is the first derivative of (x+8^{2/3}) ?

The first derivative of (x+8^{2/3}) is 2/(3(x+8)^{1/3)}

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\frac{d}{d x} ((x + 8)^{\frac{2}{3}})

\frac{2}{3 ( x + 8 ) ^{\frac{1}{3}}}

Solution steps

\frac{d}{d x} ((x + 8)^{\frac{2}{3}})

Apply the chain rule:

\frac{2}{3 ( x + 8 ) ^{\frac{1}{3}}} \frac{d}{d x} (x + 8)

= \frac{2}{3 ( x + 8 ) ^{\frac{1}{3}}} \frac{d}{d x} (x + 8)

\frac{d}{d x} (x + 8) = 1

= \frac{2}{3 ( x + 8 ) ^{\frac{1}{3}}} \cdot 1

Simplify

= \frac{2}{3 ( x + 8 ) ^{\frac{1}{3}}}

\int \frac{3 ( x + 1 ) + 4}{x ( 2 x + 7 ) + 3} d x

x \to 0 lim (\frac{( x ^{2} - 3 x )}{x})

y^{^{'}} - 5 y x^{4} = 0

\int a^{2}

\int (x^{2} sin (x^{3})) d x

What is the derivative of (x+8^{2/3}) ?
The derivative of (x+8^{2/3}) is 2/(3(x+8)^{1/3)}
What is the first derivative of (x+8^{2/3}) ?
The first derivative of (x+8^{2/3}) is 2/(3(x+8)^{1/3)}