Derivatives
d/dx(3x^2+4x-7)
6x+4
sin^2x+cos^2x=
1
intdx
x+C
lim_(x->oo)1/x
d/dx(cosx)
-sinx
pir^2h
inte^xdx
e^x+C
lim_(x->0)(1-cosx)/x
d/dx(secx)
secxtanx
(g(x)f'(x)-f(x)g'(x))/(g(x))^2
int1/xdx
lnabs(x)+C
f'(c)=(f(b)-f(a))/(b-a)
lim_(x->0)sinx/x
d/dx(a^x)
lna(a^x)
f'(x)g(x)+f(x)g'(x)
intsec^2xdx
tanx+C
sin(pi/4)+cos(pi/3)
(1+sqrt2)/2
lim_(x->0)(3x^2-sinx)/(2x^2+x)
d/dx(arctanx)
1/(1+x^2)
f'(g(x))g'(x)
inttanxdx
lnabs(secx)+C or -lnabs(cosx)+C
lim_(h->0)((3+h)^2-9)/h
f'(3)=6