Keywords: Umkehrregel 2.png w en Inverse functions and differentiation w de Umkehrregel Shown functions <math> \color Blue f x \log_2 x ~~;~~~~ \color Red f -1 x 2 x </math> <math> \color Periwinkle f' x \frac 1 \ln 2 \cdot x ~~;~~~~ \color Salmon f -1 ' x \ln 2 \cdot2 x </math> Rule <math> \color Periwinkle f' x \frac 1 \color Salmon f -1 ' \color Blue f x </math> The illustration shows the validity of the rule for the random <math>x_0 \frac 4 \ln 2 \approx 5 77</math> <math> \color Periwinkle f' x_0 \frac 1 4 </math> <math> \color Salmon f -1 ' \color Blue f x_0 4~</math> own 2011 mate2code 250px Functions Mathematical theorems |