Why does the derivative of a constant equal zero?
If you differentiate a constant like 5, 100, or π, the result is always zero.
But why?
A constant never changes as x changes. Its graph is a horizontal line, so its slope is zero.
For example:
d/dx (5) = 0
In this visual math animation, we break down the simple idea behind constant derivatives and connect it to the geometric meaning of a derivative: rate of change.
A simple visual explanation of constants, slopes, and derivatives.
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