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Popular >

derivative of sqrt((x^2+8))

Solution

derivative of

(x^{2} + 8)

Solution

\frac{x}{x ^{2} + 8}

Solution steps

\frac{d}{d x} (x^{2} + 8)

Apply the chain rule:

\frac{1}{2 x ^{2} + 8} \frac{d}{d x} (x^{2} + 8)

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

\frac{d}{d x} (x^{2} + 8) = 2 x

= \frac{1}{2 x ^{2} + 8} \cdot 2 x

Simplify

\frac{1}{2 x ^{2} + 8} \cdot 2 x : \frac{x}{x ^{2} + 8}

= \frac{x}{x ^{2} + 8}

Popular Examples

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integral of (x^2-3)sin(2x)

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\frac{d}{d x} (sin (x) + sin (y) + sin (x + y))

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\frac{1}{( x - 2 )}

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\frac{d}{d x} (\frac{cos ( x ) - 1}{sin ( x )})

Frequently Asked Questions (FAQ)

What is the derivative of sqrt((x^2+8)) ?
The derivative of sqrt((x^2+8)) is x/(sqrt(x^2+8))
What is the first derivative of sqrt((x^2+8)) ?
The first derivative of sqrt((x^2+8)) is x/(sqrt(x^2+8))