Differential Calculus
3*x^2
What is the derivative of x^3 ?
n! =n*(n-1)*...*1
What is a factorial?
The formula for a linear equation.
What is y=ax+b ?
The coefficient in a linear function representing slope.
What is a?
The coordinates on the unit circle representing a certain angle.
What are cosine and sine?
f'(x)=1/(2sqrt(x))
What is the derivative of f(x)=sqrt(x) ?
The game show in which you can win a car or a goat.
What is The Monty Hall problem?
The equation of a circle with center (a, b) and radius r .
What is (x-a)^2+(y-b)^2=r^2
A quadratic polynomial.
What is f(x)=ax^2+bx+c ?
Cosine of an acute angle A in a right-angled triangle.
What is
cos(A)=b/c ?
(f(g(x))'=f'(g(x))*g'(x)
What is the derivative of a composite function?
The formula for probability of r successes if X ~ b(n,p) .
What is P(X=r)=K(n, r)*p^r*(1-p)^(n-r) ?
The formula for distance between two points.
What is sqrt((x_2-x_1)^2+(y_2-y_1)^2) ?
The formula for a power function.
What is f(x)=b*x^a ?
sin(v)/cos(v)
What is tan(v) ?
2ax+b
What is the derivative of the quadratic polynomial?
In a binomial distribution, these two parameters represent the number of trials and the probability of success on each trial.
What are n and p?
a*c=-1
What is the product of the slopes of two orthogonal lines y=ax+b and y=cx+d ?
The formula for the discriminant of a quadratic polynomial.
What is d=b^2-4ac ?
Law of sine.
What is sin(A)/a=sin(B)/b=sin(C)/c ?
f'(x)=30x(3x^2+1)^4
What is the derivative of f(x)=(3x^2+1)^5 ?
This triangular arrangement of numbers reveals binomial coefficients, where each number is the sum of the two directly above it.
What is Pascal's triangle?
|ax_1+b-y_1|/(sqrt(a^2+1))
What is the formula for the shortest distance between a point and a line?
The function which forms a straight line in a semi-log plot.
What is an exponential function?
The law of cosine.
What is a^2=b^2+c^2-2bc*cos(A) (or equivalent)?