Derivative of constant
Fact-checked:
Formula
$\dfrac{d}{dx}{\, (c)} \,=\, 0$
The derivative of a constant with respect to any variable is equal to zero.
Introduction
$c$ is a constant and $x$ is a variable. The derivative of constant $c$ with respect to $x$ is written in the following mathematical form.
$\dfrac{d}{dx}{\, (c)}$
The differentiation of $c$ with respect to $x$ is equal to zero.
$\dfrac{d}{dx}{\, (c)} \,=\, 0$
In differential calculus, it is used as a formula for finding the derivative of any constant.
Alternative forms
The differentiation of a constant rule can be written in terms of any constant and variable but its value is always zero.
$(1) \,\,\,$ $\dfrac{d}{dg}{\, (a)} \,=\, 0$
$(2) \,\,\,$ $\dfrac{d}{dy}{\, (6)} \,=\, 0$
$(3) \,\,\,$ $\dfrac{d}{dz}{\, (e)} \,=\, 0$
Proof
Learn how to derive the derivative of a constant formula in calculus by first principle.
