What is the derivative of x! ?

The derivative of x! is \Gamma(x+1)\digamma(x+1)

What is the first derivative of x! ?

The first derivative of x! is \Gamma(x+1)\digamma(x+1)

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\frac{d}{d x} (x!)

Γ (x + 1) ϝ (x + 1)

Solution steps

\frac{d}{d x} (x!)

Apply the common derivative:

\frac{d}{d x} (x!) = Γ (x + 1) ϝ (x + 1)

= Γ (x + 1) ϝ (x + 1)

\frac{d}{d x} (lo g_{3} (x + 3))

\int 6 x^{5} (x^{6})^{5} d x

\int \frac{3 t ^{2} + 2}{( t ^{3} + 2 t + 3 ) ^{5}} d t

\frac{\partial}{\partial y} (cos (x + y))

\frac{d}{d x} (36 - x^{2})

What is the derivative of x! ?
The derivative of x! is \Gamma(x+1)\digamma(x+1)
What is the first derivative of x! ?
The first derivative of x! is \Gamma(x+1)\digamma(x+1)