Math Basics: Why The Derivative Of A Constant ‘C’ With Respect To ‘X’ Is Always Zero

d/dx [c]

0

The derivative of a constant ‘c’ with respect to ‘x’ is zero. This is because a constant term does not contain any variable ‘x’ and so its rate of change with respect to ‘x’ is always zero.

Symbolically, we can write it as:

d/dx [c] = 0

where ‘d/dx’ represents the derivative operator with respect to ‘x’. So, no matter what the value of ‘c’ is, its derivative with respect to ‘x’ will always be zero.

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