Geef de standaard afgeleiden

functie                                                   afgeleide

f(x)= x^a                                               f'(x) = ax^a-1

f(x) = sin(x)                                           f'(x) = cos (x)

f(x)= cos(x)                                           f'(x)= -sin(x)

f(x)= tan(x)                                            f'(x) =1/cos^2(x)

f(x)= e^x                                               f'(x) = e^x

f(x)= a^x                                              f'(x) =a^x ln (a)

f(x)=ln(x)                                              f'(x)= 1/x

f(x)=arctan(x)=1/tan(x)                       f'(x)= 1/(1+x^2)

f(x)= arcsin(x)=1/sin(x)                        f'(x)= 1/wortel(1-x^2)

f(x)= arccos(x)=1/cos(x)                     f'(x)= -1/wortel(1-x^2)