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 expressed as:
d/dx [c] = 0
This is because the derivative of a constant represents the slope of the line tangent to the function at any point, and the slope of a horizontal line (which represents a constant) is always zero. Therefore, the derivative of any constant with respect to x is always zero.
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