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Popular >

derivative of 18x-2/3 x^3

Solution

\frac{d}{d x} (18 x - \frac{2}{3} x^{3})

Solution

18 - 2 x^{2}

Solution steps

\frac{d}{d x} (18 x - \frac{2}{3} x^{3})

Simplify

18 x - \frac{2}{3} x^{3} : 18 x - \frac{2 x ^{3}}{3}

= \frac{d}{d x} (18 x - \frac{2 x ^{3}}{3})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (18 x) - \frac{d}{d x} (\frac{2 x ^{3}}{3})

\frac{d}{d x} (18 x) = 18

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

= 18 - 2 x^{2}

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Frequently Asked Questions (FAQ)

What is the derivative of 18x-2/3 x^3 ?
The derivative of 18x-2/3 x^3 is 18-2x^2
What is the first derivative of 18x-2/3 x^3 ?
The first derivative of 18x-2/3 x^3 is 18-2x^2