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The derivative of x with respect to x is 1, as the derivative measures the instantaneous rate of change of a function with respect to its variable, and the rate of change of x with respect to itself is simply 1. This result can be obtained using the power rule of differentiation, where the derivative of x^n with respect to x is n*x^(n-1), and applying it for n=1 gives d/dx[x] = 1*x^(1-1) = 1.
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