Find the Derivative - d/dx natural log of e

Problem

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

Solution

1. Identify the constant value inside the natural logarithm. The value e is a mathematical constant approximately equal to 2.718

2. Evaluate the natural logarithm. By definition, ln(e) is the power to which e must be raised to equal e which is 1

3. Rewrite the expression using the evaluated constant.

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

4. Apply the constant rule for differentiation. The derivative of any constant with respect to x is 0

d(1)/d(x)=0

Final Answer

d(ln(e))/d(x)=0

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