Find the Derivative - d/dx y = log of x

Problem

d()/d(x)*(log_)(x)

Solution

1. Identify the function to be differentiated, which is the common logarithm (log_)(x) In most calculus contexts, (log_)(x) refers to the natural logarithm ln(x) unless a base is specified.

2. Apply the rule for the derivative of the natural logarithm, which states that the derivative of ln(x) with respect to x is the reciprocal of x

3. State the result using the standard derivative notation.

Final Answer

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

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