Question

What is the derivative of \[2\] ?

Answer 1

Hint: 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.