What is the derivative of (2(1-x)/(3\sqrt[3]{x)}-x^{2/3}) ?

The derivative of (2(1-x)/(3\sqrt[3]{x)}-x^{2/3}) is (-6\sqrt[3]{x}x^{2/3}-2-4x)/(9x^{4/3)}

What is the first derivative of (2(1-x)/(3\sqrt[3]{x)}-x^{2/3}) ?

The first derivative of (2(1-x)/(3\sqrt[3]{x)}-x^{2/3}) is (-6\sqrt[3]{x}x^{2/3}-2-4x)/(9x^{4/3)}

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Solution steps

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

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

Simplify

\frac{d}{d x} (2 tan (x))

n = 0 \sum \infty \frac{x ^{n}}{n ^{n}}

x \to 0 lim (\frac{4 ^{x} - 3 ^{x}}{x})

\int \frac{1}{3} sin (3 x) d x

\frac{d}{d x} (\frac{x}{10} sin (5 x))

What is the derivative of (2(1-x)/(3\sqrt[3]{x)}-x^{2/3}) ?
The derivative of (2(1-x)/(3\sqrt[3]{x)}-x^{2/3}) is (-6\sqrt[3]{x}x^{2/3}-2-4x)/(9x^{4/3)}
What is the first derivative of (2(1-x)/(3\sqrt[3]{x)}-x^{2/3}) ?
The first derivative of (2(1-x)/(3\sqrt[3]{x)}-x^{2/3}) is (-6\sqrt[3]{x}x^{2/3}-2-4x)/(9x^{4/3)}