Differentialkvotienter og stamfunktioner

Funktion f(x)	Differentialkvotient f'(x)	Stamfunktionerne F(x)
$0$	$0$	$k$, k ∈ R
$a$	$0$	Failed to parse (syntax error): {\displaystyle a·x+k} , k ∈ R
$x$	$1$	$\frac {1}{2} \cdot x^2+k$, k ∈ R
$x^2$	$2 \cdot x$	$\frac {1}{3} \cdot x^3+k$, k ∈ R
$x^3$	$3 \cdot x$	$\frac {1}{4} \cdot x^4+k$, k ∈ R
$x^n$,n ∈ R	$n \cdot x^{n-1}$	$\frac {1}{n+1} \cdot x^{n+1}+k$, k ∈ R ∧ n ≠ -1
$\sqrt{x}$ , x≥0	$\frac {1}{2 \cdot \sqrt {x}}$ , x≥0	$\frac {2}{3} \cdot x^{\frac {3}{2}}+k$, k ∈ R