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Popular >

derivative of 300x-10x^2+(x^3/3)

Solution

\frac{d}{d x} (300 x - 10 x^{2} + \frac{x ^{3}}{3})

Solution

300 - 20 x + x^{2}

Solution steps

\frac{d}{d x} (300 x - 10 x^{2} + \frac{x ^{3}}{3})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (300 x) - \frac{d}{d x} (10 x^{2}) + \frac{d}{d x} (\frac{x ^{3}}{3})

\frac{d}{d x} (300 x) = 300

\frac{d}{d x} (10 x^{2}) = 20 x

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

= 300 - 20 x + x^{2}

Popular Examples

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\int_{0}^{1} 8 e^{- 2 x} d x

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x \to 8 lim (x - 8)

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\frac{10 s - 3}{s ^{2} + 4 s + 29}

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f (x) = sin (x), at x = \frac{5 π}{2}

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\frac{1}{3 - x}

Frequently Asked Questions (FAQ)

What is the derivative of 300x-10x^2+(x^3/3) ?
The derivative of 300x-10x^2+(x^3/3) is 300-20x+x^2
What is the first derivative of 300x-10x^2+(x^3/3) ?
The first derivative of 300x-10x^2+(x^3/3) is 300-20x+x^2