AROC & IROC
Derivatives and Anti-Derivatives
U-substitution
Limits
Miscellaneous
100

This happens to be the meaning of what AROC stands for

What is Average Rate of Change?

100

This happens to be the anti-derivative of 4x

What is 2x^2

100

When your equation is ∫(2x)/((3x^2)+4)dx the u-substitution you find is this



What is (⅓)(ln|(3x^2)+4|)

100

This is the value that a function approaches as the input approaches some value

What is a limit?

100

This happens to be the room number of Mrs. Smith

What is E38?

200

This equation is the foundation of finding your answer

What is f(b)-f(a)/b-a

200

The anti-derivative of Tanx is this

What is Sec^2x

200

When given ∫((3x^3)+3)/((2x^4)+8)dx your u-substitution gives you this

What is 3ln|(2x^4)+8|

200

This limit is when you see x approaches infinity for the function 1 / x


What is zero?

200

When you expand log3(3x^2)(13x^3), this is what you get

What is log3+3log3x+log313+2log3x

300

This is how you find the slope of the tangent line

What is IROC?

300

The antiderivative of arccotx is this

What is -1/1+x^2?

300

When ∫(3x^2)/(√1-4x^3)d/x, your u-substitution gives you this

What is  (1/12)(1/√1-4x^3)

300

This limit is found when Sin(x) / x approaches this value as x approaches zero

What is 1?

300

His junior year he was 16, but #1 in our hearts on the football team

Who is Nolen Skaggs?

400

This equation is how one finds the secant line's slope

What is AROC

400

The derivative of 1/x^2 happens to be this

What is -2x^3

400

This will be your answer to using u-substitution when given this equation ∫(x^2)/(√(x^3+1))dx

What is ⅔ √(x^(3) + 1) + c

400

This rule helps to evaluate the limit of a quotient where both the numerator and denominator approach zero.

What is L' Hospital Rule?

400

The answer to the following problem: ∫(ln(x))/(x)dx

What is ½(ln(x))^(2) + C  

500

When the limit is 0 with an IROC equation, the problem x^2 isn't your answer (solve)

What is zero?

500

The derivative of arcsecx is founded to be this

What is 1/|x| √(x^2 - 1)]

500

This answer is what you will find after solving to the following integral: ∫x^3√(x^2+1)dx

What is ⅕(x^(2)+1)^(5/2)−⅓(x^(2)+1)^(3/2)+C

500

(e^x - 1) / x approaches this value as x approaches zero

What is 1?

500

When you condense ln31+3lnx-13lnx, you get this

What is lnb31x31/x13?

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