NCSSM Placement Practice Test

Question: 1 / 570

What is the derivative of a constant c with respect to x?

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The derivative of a constant \( c \) with respect to \( x \) is zero. This is because the derivative measures the rate of change of a function with respect to the variable in question. A constant does not change as \( x \) changes; it remains the same value regardless of the value of \( x \). Therefore, there is no change in the value of the function, and the rate of change, which is represented by the derivative, is zero.

In other words, mathematically, the derivative \( \frac{d}{dx}(c) = 0 \), illustrating that the slope of the function at any point is flat, confirming that constants have no contribution to changes in \( x \).

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