Derivarea functiilor elementare

Functia

Derivata

Domeniu de derivabilitate

c (constanta)

R

x

R

x ⁿ , n 1, intreg

n x ^n-1

R

x ^r , r real

r x ^r-1

cel putin (0 , +

ln x

e ^x

e ^x

R

a ^x , a > 0 , a

a ^x ln a

R

sin x

cos x

R

cos x

-sin x

R

tg x

cos x

ctg x

sin x

arcsin x

arccos x

arctg x

R

arcctg x

R