| Prime Notation | Leibniz Notation | |||
|---|---|---|---|---|
| First Derivative | \(y^\prime\) | \(f^\prime (x)\) | \(\dfrac{dy}{dx}\) | \(\dfrac{d}{dx} f(x)\) |
| Second Derivative | \(y''\) | \(f'' (x)\) | \(\dfrac{d^{2}y}{dx^{2}}\) | \(\dfrac{d^{2}}{dx^{2}} f( x)\) |
| Third Derivative | \(y'''\) | \(f''' ( x)\) | \(\dfrac{d^{3}y}{dx^{3}}\) | \(\dfrac{d^{3}}{dx^{3}} f( x)\) |
| Fourth Derivativ | \(y^{( 4)}\) | \(f^{( 4) }( x)\) | \(\dfrac{d^{4}y}{dx^{4}}\) | \(\dfrac{d^{4}}{dx^{4}} f( x)\) |
| ⋮ | ||||
| \(n\)th Derivative | \(y^{(n)}\) | \(f^{(n)}(x)\) | \(\dfrac{d^{n}y}{dx^{n}}\) | \(\dfrac{d^{n}}{dx^{n}} f( x)\) |