Find the Derivative - d/dx f(x)=x

Problem

d()/d(x)*x

Solution

1. Identify the function to be differentiated, which is ƒ(x)=x

2. Apply the power rule for derivatives, which states that d(x^n)/d(x)=n*x^(n−1)

3. Substitute n=1 into the power rule formula.

4. Simplify the resulting expression 1⋅x^(1−1) which becomes 1⋅x^0

5. Evaluate the zero exponent, noting that x^0=1 for x≠0

Final Answer

d(x)/d(x)=1

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