d/dx (x^n)
To find the derivative of the function f(x) = x^n, where n is a constant, we can apply the power rule for differentiation
To find the derivative of the function f(x) = x^n, where n is a constant, we can apply the power rule for differentiation.
The power rule states that if we have a function of the form g(x) = x^m, then its derivative is given by:
g'(x) = m * x^(m-1)
In our case, f(x) = x^n, so we can use the power rule to find the derivative:
f'(x) = n * x^(n-1)
Therefore, the derivative of f(x) = x^n is f'(x) = n * x^(n-1).
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