Find the Derivative - d/dx x^n

Problem

d(xn)/d(x)

Solution

1. Identify the expression as a power function of the form xn where x is the variable and n is a constant exponent.

2. Apply the Power Rule for differentiation, which states that for any real number n the derivative of xn is found by multiplying the expression by the exponent and then subtracting one from the exponent.

3. Multiply the variable by the original exponent n

4. Subtract 1 from the exponent to get the new power n−1

Final Answer

d(xn)/d(x)=n*x(n−1)

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