Question

What is the derivative of $2$ ?

Answer 1

In this question , we need to find the derivative of $2$ . Mathematically, a derivative is defined as a rate of change of function with respect to an independent variable given in the function. The term differentiation is nothing but it is a process of determining the derivative of a function at any point. With the help of the derivative rule, we can find the derivative of $2$ .
Derivative of the constant term :
The derivative of the constant, If $f(x)\ = \ k$, where $k$ is a constant, then $f’(x)\ = \ 0$. Where $f(x)$ is a function and $f’(x)$ is the derivative of the function. The notation $f’(x)$ is known as Lagrange’s notation.

Complete step by step solution:
Given, $2$
We need to find the derivative of $2$ .
$2$ is a constant term and the value of $2$ never changes.
Let us consider $f(x) = 2$
Differentiating both sides with respect to $x$,
$\dfrac{d}{{dx}}(f\left( x \right)) = \dfrac{d}{{dx}}\left( 2 \right)$
The derivative of any constant term is $0$ .
Since $2$ is a constant .
The derivative of the constant term $2$ with respect to $x$ is $0$ .
$\Rightarrow f’(x) = 0$
The derivative of $2$ is $0$ .
Final answer :
The derivative of $2$ is $0$ .

Note: Mathematically , Derivative helps in solving the problems in calculus and in differential equations. The derivative of $y$ with respect to $x$ is represented as $\dfrac{{dy}}{{dx}}$. Here the notation $\dfrac{dy}{{dx}}$ is known as Leibniz's notation . There are two types of derivative namely first order derivative and second order derivative. A simple example for a derivative is the derivative of $x^{3}$ is $3x$ . Derivative is applicable in trigonometric functions also.