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# Find the derivative of 1/(x^2+4)

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sin
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asin
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sinh
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asinh
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## Answer

$cosh\left(x\right)$

## Step by step solution

Problem

$\frac{d}{dx}\left(\frac{1}{x^2+4}\right)$
1

Taking the derivative of the hyperbolic sine

$\frac{d}{dx}\left(x\right)cosh\left(x\right)$
2

The derivative of the linear function is equal to $1$

$1cosh\left(x\right)$
3

Any expression multiplied by $1$ is equal to itself

$cosh\left(x\right)$

## Answer

$cosh\left(x\right)$

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### Main topic:

Differential calculus

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