d/dx[C]=
0
The derivative of a constant C with respect to x is zero.
This is because a constant is a fixed value, which means it does not change as x varies. Therefore, the slope of the graph of a constant is always zero, regardless of the value of x.
Using the formal definition of a derivative, we can see this mathematically:
The derivative of C with respect to x is defined as:
lim(h->0) [C(x+h) – C(x)] / h
Since C is a constant, C(x+h) = C(x), so the numerator becomes 0.
Therefore, the derivative of a constant C with respect to x is:
d/dx[C] = 0
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