d/dx [c]
To evaluate the derivative of a constant function, we can use the power rule for differentiation
To evaluate the derivative of a constant function, we can use the power rule for differentiation.
The power rule states that if we have a function of the form f(x) = c, where c is a constant, then the derivative of f(x) with respect to x is 0.
In this case, we have the function f(x) = c, where c is a constant. Taking the derivative of f(x) with respect to x, denoted as d/dx [c], we apply the power rule and get:
d/dx [c] = 0
Therefore, the derivative of a constant function is always zero because the slope of a horizontal line is zero.
Note that the power rule holds true for all constants, not just numerical values. So if c were a constant expression involving variables, the derivative would still be zero.
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