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Popular >

derivative of x^2-2/3 x^3

Solution

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

Solution

2 x - 2 x^{2}

Solution steps

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

Simplify

x^{2} - \frac{2}{3} x^{3} : x^{2} - \frac{2 x ^{3}}{3}

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

Apply the Sum/Difference Rule:

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

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

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

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

= 2 x - 2 x^{2}

Popular Examples

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

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x \to - 5 lim (\frac{1}{1 + 5})

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Frequently Asked Questions (FAQ)

What is the derivative of x^2-2/3 x^3 ?
The derivative of x^2-2/3 x^3 is 2x-2x^2
What is the first derivative of x^2-2/3 x^3 ?
The first derivative of x^2-2/3 x^3 is 2x-2x^2