Question

What is the derivative of $y=-4$?

Answer 1

Hint: To find the derivative of a given number we will use constant rule. As we know that the derivative of constant is always zero because the rate change in a constant number is none. So we will use this rule and get our desired answer.

Complete step-by-step answer:
We have to find the derivative of
$y=-4$
We will use Constant rule which states that the derivative of constant is zero. As when we draw the graph of the given line we will get a horizontal line moving parallel to $x-$ axis and there will be no change in it.
So we get,
${y}'=0$
Where $'$ implies derivative.

Hence derivative of $y=-4$ is 0.

Note: Differentiation is used to find the instantaneous rate of change in any function and the process of finding the derivative is known as Differentiation. There are many rules to find the derivative of the function depending on what all term is present in it. The constant rule apply for the constant term which have two saying firstly that the derivative of a constant multiplied by a function is the constant multiplied by the derivative of the function and second is that differentiation of any constant is always zero. The differentiation of constant is always zero because a constant function is a horizontal line so the slope or rate of change of a constant function is always zero as there is no change in its one of the coordinate. If the line is parallel to $x-$ axis the slope is zero but if the line is parallel to $y-$axis the slope is not defined.