Tabella delle derivate fondamentali e regole di derivazione
d dx
xp
= pxp−1, d dx
ex
= ex, d dx
ax
= axlog a
d dx
log x
= 1
x, d
dx
logax
= logae x
d dx
sin x
= cos x, d dx
cos x
= − sin x
d dx
tan x
= 1
cos2x = 1 + tan2x
d dx
arcsin x
= 1
√1 − x2 (|x| < 1), d dx
arccos x
= − 1
√1 − x2 (|x| < 1)
d dx
arctan x
= 1
1 + x2
d dx
sinh
= cosh x, d dx
cosh
= sinh x, d dx
tanh
= 1
cosh2x
d
dx c = 0, d
dx cf (x) = cf0(x)
d
dx [f (x) ± g(x)] = f0(x) ± g0(x), d
dx [f (x)g(x)] = f0(x)g(x) + f (x)g0(x)
d dx
1
f (x) = − f0(x)
[f (x)]2, d dx
f (x)
g(x) = f0(x)g(x) − f (x)g0(x) [g(x)]2
d
dx f (g(x)) = f0(g(x)) g0(x)
