Derivatives
Formulas
Integrals
Miscellaneous
Limits
100


d/dx(3x^2+4x-7)

6x+4


100

sin^2x+cos^2x=


1


100

intdx


x+C


100
When do you add +C?
As soon as you anti-differentiate an indefinite integral.
100

lim_(x->oo)1/x


What is 0?
200

d/dx(cosx)


-sinx


200

(g(x)f'(x)-f(x)g'(x))/(g(x))^2


What is quotient rule?

200

inte^xdx


e^x+C


200
Lo-d-hi minus hi-d-Lo, all over (Lo)^2
What is the quotient rule?
200

lim_(x->0)(1-cosx)/x


What is 0?
300

d/dx(secx)


secxtanx


300

f'(x)g(x)+f(x)g'(x)


What is product rule?
300

int1/xdx


lnabs(x)+C


300

f'(c)=(f(b)-f(a))/(b-a)


What is the Mean Value Theorem?
300

lim_(x->0)sinx/x


What is 1?
400

d/dx(a^x)

lna(a^x)


400

f'(g(x))g'(x)


What is the chain rule?
400

intsec^2xdx


tanx+C


400

sin(pi/4)+cos(pi/3)


(1+sqrt2)/2


400

lim_(x->0)(3x^2-sinx)/(2x^2+x)


What is -1?
500

d/dx(arctanx)


1/(1+x^2)


500

The formula for finding the volume of a solid of revolution using the disk method.

V=pi*int_a^b r(x)^2 \ dx


500

inttanxdx


lnabs(secx)+C or -lnabs(cosx)+C


500
The man who formalized dy/dx notation
Who is Leibniz?
500

lim_(h->0)(f(x+h)-f(x))/h


What is "the definition of...

f'(x) "

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