I found the first derivative of the equation. Why are you acting like there's more to it?
There is no such thing as "the first derivative of [an] equation". An equation is merely a statement that two expressions are equal. To perform an operation on an equation is to perform the equivalent operation on both expressions.
For example, I can start with this equation:
a = bThis merely states that the expression
a is equal to the expression
b. I can then perform a simple operation on both expressions:
2a = 2bThis is rudimentary algebra, which I'm sure you are familiar with. However, what seems to have eluded you is that it would
not be correct to say that I have found "the multiplication of this equation". To sufficiently qualify the operation I have performed, I have multiplied both sides of my equation by 2.
Similarly, while taking a derivative of both sides of an equation is indeed a type of operation you could perform, it is not a complete description of such an operation.
And saying equations do have derivatives is not coherent these days anymore?
Actually, you asked me that equations have derivatives by ending your sentence with a question mark. Such a question does not make sense.