Derivatives
d/dx(3x^2+4x-7)
6x+4
sin^2x+cos^2x=
1
intdx
x+C
Ms. Mina visited this cluster of islands (archipelago) over the winter break.
What is the Philippines?
lim_(x->oo)1/x
What is 0?
d/dx(cosx)
-sinx
The formula for finding the volume of a right circular cylinder.
pir^2h
inte^xdx
e^x+C
This creature lives in a ______________ under the sea and has a pet snail.
What is a pineapple?
lim_(x->0)(1-cosx)/x
What is 0?
d/dx(secx)
secxtanx
(g(x)f'(x)-f(x)g'(x))/(g(x))^2
What is quotient rule?
int1/xdx
lnabs(x)+C
He makes cameos in Marvel Movies
Who is Stan Lee?
lim_(x->0)sinx/x
What is 1?
d/dx(a^x)
lna(a^x)
f'(x)g(x)+f(x)g'(x)
What is product rule?
intsec^2xdx
tanx+C
Who is LeBron James?
lim_(x->0)(3x^2-sinx)/(2x^2+x)
What is -1?
d/dx(arctanx)
1/(1+x^2)
f'(g(x))g'(x)
What is the chain rule?
inttanxdx
lnabs(secx)+C or -lnabs(cosx)+C
triggered by things like whispering voices, paper tearing, and scalp massage
What is ASMR?
lim_(h->0)((3+h)^2-9)/h
f'(3)=6