derivative of a constant:d/dx [c] = ___________________
The derivative of a constant is always zero
The derivative of a constant is always zero.
To understand why, let’s start with the definition of a derivative. The derivative of a function represents its rate of change at any given point. In other words, it tells us how the function is changing with respect to its input (in this case, x).
When we take the derivative of a constant, we are essentially trying to find the rate of change of that constant with respect to x. Since a constant value does not change as x varies, its rate of change is zero. Therefore, the derivative of any constant, c, with respect to x is equal to zero:
d/dx [c] = 0
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