# Derivative of constant

## 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.

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