Notations that are commonly used in mathematics to denote a derivative for a function \(y=f(x)\) include

\(\displaystyle\frac{dy}{dx},\, \frac{d}{dx}\big(f(x)\big),\, f'(x),\, y’,\, D(f)\)

Higher-order derivates can be expressed as

\(\displaystyle\frac{d^ny}{dx^n}=f^{(n)}(x)\qquad f(x)=f^{(0)}(x)\)