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Popular >

derivative of 2x^{4/3}-3x^{2/3}

Solution

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

Solution

\frac{8 x ^{\frac{1}{3}}}{3} - \frac{2}{x ^{\frac{1}{3}}}

Solution steps

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

Apply the Sum/Difference Rule:

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

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

\frac{d}{d x} (2 x^{\frac{4}{3}}) = \frac{8 x ^{\frac{1}{3}}}{3}

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

= \frac{8 x ^{\frac{1}{3}}}{3} - \frac{2}{x ^{\frac{1}{3}}}

Popular Examples

((1+arctan(x))e^{2x})^'

((1 + arctan (x)) e^{2 x})^{^{'}}

(\frac{1}{y})^{^{'}}

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y^{^{'}} = \frac{x y ^{3}}{1 + x ^{2}}, y (0) = - 1

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x \to 4 lim (3 x^{2} - 7 x + 5)

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\frac{d}{d x} (- \frac{e ^{\frac{1}{x}}}{x ^{2}})

Frequently Asked Questions (FAQ)

What is the derivative of 2x^{4/3}-3x^{2/3} ?
The derivative of 2x^{4/3}-3x^{2/3} is (8x^{1/3})/3-2/(x^{1/3)}
What is the first derivative of 2x^{4/3}-3x^{2/3} ?
The first derivative of 2x^{4/3}-3x^{2/3} is (8x^{1/3})/3-2/(x^{1/3)}