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The derivative of the function/ gamma(x)

Derivative of gamma(x)

Function f() - derivative -N order at the point
v

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The solution

You have entered [src] 
Gamma(x)
$$\Gamma\left(x\right)$$ 
gamma(x)
The first derivative [src] 
Gamma(x)*polygamma(0, x)
$$\Gamma\left(x\right) \operatorname{polygamma}{\left(0,x \right)}$$
Simplify
The second derivative [src] 
/         2                        \         
\polygamma (0, x) + polygamma(1, x)/*Gamma(x)
$$\left(\operatorname{polygamma}^{2}{\left(0,x \right)} + \operatorname{polygamma}{\left(1,x \right)}\right) \Gamma\left(x\right)$$
Simplify
The third derivative [src] 
/         3                                                            \         
\polygamma (0, x) + 3*polygamma(0, x)*polygamma(1, x) + polygamma(2, x)/*Gamma(x)
$$\left(\operatorname{polygamma}^{3}{\left(0,x \right)} + 3 \operatorname{polygamma}{\left(0,x \right)} \operatorname{polygamma}{\left(1,x \right)} + \operatorname{polygamma}{\left(2,x \right)}\right) \Gamma\left(x\right)$$
Simplify
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