Studied by 0 peoplederivative definitions (credits to a classmate who made this in my calc class)
(d/dx)[sinu]=
(cosu)u'
d/dx[cosu]=
-(sinu)u'
d/dx[tanu]=
(sec^2u)u'
d/dx[cscu]=
-(cscu)(cotu)u'
d/dx[secu]=
(secu)(tanu)u'
d/dx[cotu]=
-(csc^2u)u'
d/dx[e^u]=
(e^u)u'
d/dx[a^u]=
(lna)(a^u)(u')
d/dx[lnu]=
u'/u
d/dx[loga(u)]=
u'/(lna)u
d/dx[arcsin(u)]=
u'/√(1-u^2)
d/dx[arcsec(u)]=
u'/|u|√(u^2-1)
d/dx[arctan(u)]=
u'/(1+u^2)
d/dx[arccos(u)]=
-u'/√(1-u^2)
d/dx[arccsc(u)]=
-u'/|u|√(u^2-1)
d/dx[arccot(u)]=
-u'/(1+u^2)
Definition of Derivative
lim h->0 f(x+h)-f(x)/h
Note
Flashcard