Derivatives
Formulas
Integrals
Miscellaneous
Limits
100
The derivative of y = 3x^2 + 4x - 7
What is 6x + 4 ?
100
It is the formula for finding the distance between two points A(x, y) and B(3, -4)
What is SQRT of (x-3)^2 + (y+4)^2 ?
100

It is the result when you get when you integrate 1 dx

What is x + C ?

100

It is what you would use to take the derivative of f(x)=xsinx.

What is the product rule ?

100

The limit as x approaches infinity of 1/x

What is 0 ?

200
The derivative of f(x) = cos x
What is -sin x ?
200
The formula for finding the volume of a right circular cylinder.
What is (PI) r^2 h
200
It is the result when you get when you integrate e^x dx
What is e^x + C ?
200

It is what Ms. Boggan says "low dee high minus high dee low square the bottom and away we go!"

What is the quotient rule?

200
The limit as x approaches 0 of (cos x - 1) / x
What is 0 ?
300
The derivative of y = sec x
What is sec x tan x ?
300

It is (1 + cos 2A)/2.

What is cos^2 A ?

300
It is the result when you get when you integrate 1/x dx
What is ln |x| + C ?
300

sin^2 A - 1

What is cos^2 A

300
The limit as x approaches 0 of (sin x) / x
What is 1 ?
400
The derivative of f(x) = a^x
What is (ln a) a^x ?
400

It is 1 + tan^2 A

What is sec^2 A ?

400
It is the result when you get when you integrate sec^2 x dx
What is tan x + C ?
400

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

What is (2^.5)/2 + (1/2) = (Root 2 + 1)/ 2 ?

400
The limit as h approaches 0 of (e^h - 1) / h
What is 1 ?
500

The derivative of f(x) = arctan x

What is 1 / (1 + x^2) ?

500
It is the equation of an ellipse with the center at (1, -1) and has extreme points at (-3, -1), (5, -1), (1, 2), (1, -4).
What is [(x-1)^2/ 16] + [(y+1)^2/ 9] = 1 ?
500
It is the result when you get when you integrate tan x dx
What is ln |sec x| + C ? or What is -ln |cos x| + C ?
500

The rule that allows us to do this: dy/dy = dy/du X du/dx

What is the Chain Rule ?

500
The limit as x approaches infinity of (1 + (1/x))^x
What is e ?