Math Doubts

Derivative of a variable

Formula

$\dfrac{d}{dx}{\, (x)} \,=\, 1$

The derivative of a variable with respect to same variable is equal to one.

Introduction

$x$ is a variable and the differentiation of a variable $x$ with respect to $x$ is written in the following mathematical form.

$\dfrac{d}{dx}{\, (x)}$

In differential calculus, the derivative of variable $x$ is written as $\dfrac{d(x)}{dx}$ alternatively and also simply written as $x’$.

Therefore, $\dfrac{d}{dx}{\, (x)} \,=\, 1$

Other forms

The differentiation rule for a variable can be written in terms of any variable but its derivative is always one.

$(1) \,\,\,$ $\dfrac{d}{dm}{\, (m)} \,=\, 1$

$(2) \,\,\,$ $\dfrac{d}{dq}{\, (q)} \,=\, 1$

$(3) \,\,\,$ $\dfrac{d}{dy}{\, (y)} \,=\, 1$

Proof

Learn how to derive the derivative of a variable with respect to same variable is equal to one in mathematics.

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