Mastering Derivatives: Why The Derivative Of A Constant Is Always Zero

derivative of a constant:d/dx [c] = ___________________

0

The derivative of a constant ‘c’ with respect to ‘x’ is always zero.

Mathematically, it can be represented as:

d/dx [c] = 0

This is because the derivative of a constant is the rate at which the constant is changing with respect to ‘x’. But since the constant is not changing, the derivative is zero.

For example, if c = 5, then d/dx [5] = 0. This means that the slope or rate of change of a straight line whose y-intercept is 5, is always zero.

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