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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 the rule for f'(x)g(x) + f(x)g'(x)
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. Hughess says "low dee high minus high dee low all over lo lo"
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
The rule that allows us to do this: dy/dy = dy/du X du/dx
What is the chain rule?
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 man who discovered this form: dy/dx
Who is Leibniz?
500
The limit as x approaches infinity of (1 + (1/x))^x
What is e ?