# Derive the function 1/(-3x-1+x^2) with respect to x

## \frac{d}{dx}\left(\frac{1}{x^2-3x-1}\right)

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x
y
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e
π
ln
log
lim
d/dx
d/dx
>
<
>=
<=
sin
cos
tan
cot
sec
csc

asin
acos
atan
acot
asec
acsc

sinh
cosh
tanh
coth
sech
csch

asinh
acosh
atanh
acoth
asech
acsch

$cosh\left(x\right)$

## Step by step solution

Problem

$\frac{d}{dx}\left(\frac{1}{x^2-3x-1}\right)$
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

$cosh\left(x\right)$

$cosh\left(x\right)$

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### Main topic:

Differential calculus

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