Mister Exam
Other calculators
- Derivative of a implicit defined function
- Derivative of Parametric Function
- Partial derivative of the function
- Curve tracing functions Step by Step
- Integral Step by Step
- Differential equations Step by Step
- Limits Step by Step
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How to use it?
- Derivative of:
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Derivative of tg4x
- Derivative of factorial(x)
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Derivative of e^(2x+1)
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Derivative of y=tanh^-1(1-2x)
- Graphing y =:
- factorial(x)
- Integral of d{x}:
- factorial(x)
- Limit of the function:
- factorial(x)
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Identical expressions
- factorial(x)
- factorialx
Derivative of factorial(x)
The solution
The first derivative
[src]
Gamma(1 + x)*polygamma(0, 1 + x)
$$\Gamma\left(x + 1\right) \operatorname{polygamma}{\left(0,x + 1 \right)}$$
The second derivative
[src]
/ 2 \ \polygamma (0, 1 + x) + polygamma(1, 1 + x)/*Gamma(1 + x)
$$\left(\operatorname{polygamma}^{2}{\left(0,x + 1 \right)} + \operatorname{polygamma}{\left(1,x + 1 \right)}\right) \Gamma\left(x + 1\right)$$
The third derivative
[src]
/ 3 \ \polygamma (0, 1 + x) + 3*polygamma(0, 1 + x)*polygamma(1, 1 + x) + polygamma(2, 1 + x)/*Gamma(1 + x)
$$\left(\operatorname{polygamma}^{3}{\left(0,x + 1 \right)} + 3 \operatorname{polygamma}{\left(0,x + 1 \right)} \operatorname{polygamma}{\left(1,x + 1 \right)} + \operatorname{polygamma}{\left(2,x + 1 \right)}\right) \Gamma\left(x + 1\right)$$