Derivative Notation
There are several ways to write derivatives. They all mean the same thing, but different notations are useful in different contexts.
Derivative Notations
Higher Derivatives
Second derivative: f''(x) or d^2y/dx^2
Third derivative: f'''(x) or d^3y/dx^3
nth derivative: f^(n)(x) or d^ny/dx^n
Key Takeaways
f'(x), dy/dx, and d/dx[f] all mean the same thing
Use Leibniz (dy/dx) for chain rule and related rates
Higher derivatives use double/triple primes or exponents