Find the Derivative - d/dx e^( natural log of x)

Problem

d(e^ln(x))/d(x)

Solution

1. Simplify the expression using the property of inverse functions, where e^ln(x)=x for x>0

2. Rewrite the derivative problem using the simplified form of the function.

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

4. Evaluate the derivative of x with respect to x which results in 1

Final Answer

d(e^ln(x))/d(x)=1

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