lim(x–>a) (x^n - a^n)/(x-a) =
na^(n-1)
sinx/x=
1
(1-cosx)/x
0
derivative of f at a
lim(h–>0) f’(a)=f(a+h)-f(a)/h
derivative of f at any point
f’(x) lim(h–>0) f(x+h)-f(x)/h
(u±v)’ =
u’ ± v’
(uv)’=
uv’ + u’v
(u/v)’=
(u’v - uv’)/v^2
d(x^n)/dx
nx^(n-1)
dsinx/dx
cosx
dcosx/dx
-sinx
dtanx/dx
sec^2 x
dcosecx/dx
cotxcosecx
dcotx/dx
-cosec^2 x
dsecx/dx
secxtanx