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Prime Notation Leibniz Notation
First Derivative y f(x) dydx ddxf(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)
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nth Derivative y^{(n)} f^{(n)}(x) \dfrac{d^{n}y}{dx^{n}} \dfrac{d^{n}}{dx^{n}} f( x)
Table 3: Table 3