What is the derivative of y=\sqrt[3]{8x^2} ?

The derivative of y=\sqrt[3]{8x^2} is (4x)/(3(x^2)^{2/3)}

What is the first derivative of y=\sqrt[3]{8x^2} ?

The first derivative of y=\sqrt[3]{8x^2} is (4x)/(3(x^2)^{2/3)}

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derivative of

y = 3 8 x^{2}

\frac{4 x}{3 ( x ^{2} ) ^{\frac{2}{3}}}

Solution steps

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

Apply the chain rule:

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

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

\frac{d}{d x} (8 x^{2}) = 16 x

= \frac{1}{3 ( 8 x ^{2} ) ^{\frac{2}{3}}} \cdot 16 x

Simplify

\frac{1}{3 ( 8 x ^{2} ) ^{\frac{2}{3}}} \cdot 16 x : \frac{4 x}{3 ( x ^{2} ) ^{\frac{2}{3}}}

= \frac{4 x}{3 ( x ^{2} ) ^{\frac{2}{3}}}

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

(x tan (x))^{^{'}}

\int \frac{- 5}{12 - 12 x ^{2}} d x

\frac{d}{d x} (π^{e})

h \to 0 lim (2 x + h)

What is the derivative of y=\sqrt[3]{8x^2} ?
The derivative of y=\sqrt[3]{8x^2} is (4x)/(3(x^2)^{2/3)}
What is the first derivative of y=\sqrt[3]{8x^2} ?
The first derivative of y=\sqrt[3]{8x^2} is (4x)/(3(x^2)^{2/3)}