Derivatives
Limits
Integrals
What is this Rule?
Miscellaneous Math Facts
100
f(x)=e^x, find f'(x).
What is f(x)=e^x?
100
lim (5x²-8x-13)/(x²-5) x->3
What is 2?
100
∫(6x²-4x+1)dx
What is 2x³-2x²+x+c?
100
Use this rule when taking the derivative of two functions, multiplied together.
What is product rule?
100
The only even prime number.
What is 2?
200
f(x)=(x-2)(x-4), find f'(x).
What is 2x-6?
200
lim (x³+x²-8)/(x²-8) x->∞
What is ∞?
200
∫₀⁶ (3x²-6x+7)dx
What is 150?
200
Use this rule when taking the derivative of a function inside of a function.
What is chain rule?
200
This number can't be represented through Roman Numerals
What is 0
300
f(x)=7x²ln(x), find f'(x).
What is 14x(ln(x))+7x?
300
lim ((x+h)²-x²)/h x->0
What is 2x?
300
The area between (5x+4) and x², between 2<x<4.
What is 58/3?
300
Use this rule for integration with two components, where one is the derivative of the other.
What is U Substitution?
300
This is the formula for the volume of a pizza with a radius of Z and depth A.
What is PiZZA (
400
f(x)=sin(3x²+1), find f'(x).
What is 6xCos(3x^2+1)?
400
lim (4x²-5x)/(1-3x²) x->∞
What is -4/3?
400
∫e^x(x²)dx
What is 2x(e^x)-2e^x+c?
400
Use this rule when taking the derivative of a function where x and y are mixed together and can't be separated.
What is implicit differentiation?
400
This number is represented by 0110101 in binary.
What is 53?
500
f(x)=(5x+2)/(x²+1), find f'(x).
What is (-5x²-4x+5)/(x²+1)²?
500
lim (sinx)/x x->0
What is 1?
500
∫cot(x)dx
What is ln|sin(x)|+c
500
Use this rule when the limit of a function is equal to either 0/0 or ∞/∞.
What is L'hopital's Rule?
500
This fraction is a perfect representation of the Fibonacci Sequence in decimal form (0.11235813213455.....).
What is 1/89?
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