Question

What is the derivative of ${{e}^{2}}$?

Answer 1

Hint: To find the derivative of ${{e}^{2}}$, we are going to take the differentiation of this expression with respect to say variable x then we are going to write the expression of derivative as follows: $\dfrac{d{{e}^{2}}}{dx}$. Now, proceed with the derivative of this expression.

Complete step by step solution:
The expression given in the above problem which we have to differentiate is as follows:
${{e}^{2}}$
Let us take the variable x with respect to which we are going to take the derivative of the above expression then the above expression will look like:
$\dfrac{d{{e}^{2}}}{dx}$
Now, as ${{e}^{2}}$ is a constant having a value of 7.389 so differentiating this constant with respect to x will give us the answer 0 so the result of the above derivative is 0.
$\dfrac{d{{e}^{2}}}{dx}=0$
From the above solution, we have got the derivative of ${{e}^{2}}$ as 0.

Note: You might get into the trap by seeing ${{e}^{2}}$ as ${{e}^{x}}$ and then take the derivative of ${{e}^{x}}$ with respect to x rather ${{e}^{2}}$ with respect to x so make sure you have properly written ${{e}^{2}}$ and then take the differentiation. This mistake is quite possible because in examination, we have a tendency to do the questions as fast as we can and in that process it is highly likely possible that this mistake would occur.
Another point to be noted is that you can take any variable (like x, y, z) because ${{e}^{2}}$ is a constant so differentiating ${{e}^{2}}$ with respect to any variable will give us the same answer i.e. 0 so it doesn’t matter which variable you are choosing.