Formules de dérivation Flashcards
(a^x)’
a^x * ln * a
(e^x)’
e^x
(log_a (x))’
1/(xlna)
(ln (x))’
1/x
(a^f(x))’
a^(f(x)) * lna * ln(x)
(e^f(x))’
e^f(x) * f’(x)
(log_a f(x))’
(1/(f(x) * ln a)) * f’(x)
(ln f(x))’
(1/f(x)) * f’(x)
(sinx)’
cosx
(cosx)’
-sinx
(tanx)’
sec^2(x)
(cotx)’
-csc^2(x)
(secx)’
secx * tanx
(cscx)’
-cscx * cotx
(sinf(x))’
cos(f(x)) * f’(x)
(cosf(x))’
-sin(f(x)) * f’(x)
(tanf(x))’
(sec^2 f(x)) * f’(x)
(cotf(x))’
(-csc^2 f(x))* f’(x)
(secf(x))’
(secf(x) * tanf(x)) * f’(x)
(cscf(x))’
(-cscf(x) * cotf(x)) * f’(x)
(arcsinx)’
1/racine(1-(x^2))
(arccosx)’
-1/racine(1-(x^2))
(arctanx)’
1/(1+(x^2))
(arccotx)’
-1/(1+(x^2))
(arcsecx)’
1/|x|racine((x)^2)-1)
(arccscx)’
-1/|x|racine((x^2)-1)
(arcsinf(x))’
( 1/racine(1-(f(x)^2)) ) * f’(x)
(arccosf(x))’
( -1/racine(1-(f(x)^2)) ) * f’(x)
(arctanf(x))’
( 1/(1+(f(x)^2)) ) * f’(x)
(arccotf(x))’
( -1/(1+(f(x)^2)) ) * f’(x)
(arcsecf(x))’
( 1/|f’(x)|racine((f’(x))^2)-1) ) * f’(x)
(arccscf(x))’
( -1/|f’(x)|racine((f’(x))^2)-1) ) * f’(x)
