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Popular >

derivative of f(x)=sqrt((x^2)/3)

Solution

derivative of

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

Solution

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

Solution steps

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

Apply the chain rule:

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

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

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

= \frac{1}{2 \frac{x ^{2}}{3}} \cdot \frac{2 x}{3}

Simplify

\frac{1}{2 \frac{x ^{2}}{3}} \cdot \frac{2 x}{3} : \frac{x}{3 x ^{2}}

= \frac{x}{3 x ^{2}}

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\int \frac{( arctan ( x ) )}{x ^{2}} d x

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f (x) = 6 x

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\int_{0}^{1} 39 \frac{1}{x ^{p}} d x

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integral from-5 to 0 of (2+sqrt(25-x^2))

\int_{- 5}^{0} (2 + 25 - x^{2}) d x

Frequently Asked Questions (FAQ)

What is the derivative of f(x)=sqrt((x^2)/3) ?
The derivative of f(x)=sqrt((x^2)/3) is x/(sqrt(3)\sqrt{x^2)}
What is the first derivative of f(x)=sqrt((x^2)/3) ?
The first derivative of f(x)=sqrt((x^2)/3) is x/(sqrt(3)\sqrt{x^2)}