Notation for differentiation

<p>In <a href="/facts/Differential_calculus/uU1AAc4N">differential calculus</a>, there is no single standard notation for differentiation. Instead, several notations for the <a href="/facts/Derivative/7Ito70Dh">derivative</a> of a <a href="/facts/Function_(mathematics)/CdReEKCh">function</a> or a <a href="/facts/Dependent_variable/dINfzIF2">dependent variable</a> have been proposed by various mathematicians, including <a href="/facts/Gottfried_Wilhelm_Leibniz/cTc2er83">Leibniz</a>, <a href="/facts/Isaac_Newton/4L7gTncN">Newton</a>, <a href="/facts/Joseph_Louis_Lagrange/bTQUaSTv">Lagrange</a>, and <a href="/facts/Louis_Fran%25C3%25A7ois_Antoine_Arbogast/hBfMpb0b">Arbogast</a>. The usefulness of each notation depends on the context in which it is used, and it is sometimes advantageous to use more than one notation in a given context. For more specialized settings—such as <a href="/facts/Partial_derivative/JWHsBkAu">partial derivatives</a> in <a href="/facts/Multivariable_calculus/PEs5SgUF">multivariable calculus</a>, <a href="/facts/Tensor_analysis/cAC6F6rF">tensor analysis</a>, or <a href="/facts/Vector_calculus/mXKIJLJE">vector calculus</a>—other notations, such as subscript notation or the <a href="/facts/Nabla_symbol/NtcnUmyW">∇</a> operator are common. The most common notations for differentiation (and its opposite operation, <a href="/facts/Antiderivative/5qDsudIv">antidifferentiation</a> or <a href="/facts/Antiderivative/5qDsudIv">indefinite integration</a>) are listed below.
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Notation for differentiation open-in-new

Notation for differentiation