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# Mathematics Cheatsheet

## Basic Operations

### Addition
a + b

### Subtraction
a - b

### Multiplication
a * b

### Division
a / b

### Exponentiation
a ** b

### Square root
sqrt(a)

## Algebra

### Solving for x
ax + b = c
x = (c - b) / a

### Quadratic formula
Given `ax^2 + bx + c = 0`, then `x = (-b +- sqrt(b^2-4ac)) / 2a`

### Pythagorean theorem
c = sqrt(a^2 + b^2)

## Trigonometry

### Sine
sin(x)

### Cosine
cos(x)

### Tangent
tan(x)

### Inverse sine
asin(x)

### Inverse cosine
acos(x)

### Inverse tangent
atan(x)

## Calculus

### Derivative
f'(x) = lim(h->0) [(f(x+h) - f(x))/h]

### Integral
∫f(x)dx = F(x) + C

### Limits
lim(x->a) f(x) = L

## Statistics

### Mean
mean(x1, x2, ..., xn)

### Median
median(x1, x2, ..., xn)

### Mode
mode(x1, x2, ..., xn)

### Standard deviation
stdev(x1, x2, ..., xn)

### Variance
variance(x1, x2, ..., xn)

## Resources

- [Khan Academy](https://www.khanacademy.org/)
- [Wolfram Alpha](https://www.wolframalpha.com/)
- [Mathway](https://www.mathway.com/)
- [Desmos](https://www.desmos.com/)
- [Symbolab](https://www.symbolab.com/)
- [Mathematics Stack Exchange](https://math.stackexchange.com/)