The Derivative Of A Constant: Why It Is Always Zero – Explained Using Derivative Definition

d/dx [c]

0 (constant rule)

The derivative of a constant (c) with respect to x is zero. This can be seen using the definition of the derivative:

lim(h->0) [c – c]/h = 0

Since c – c equals zero, the limit also equals zero. Therefore, the derivative of any constant with respect to x is zero.

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