Find the Derivative - d/dx y=4 natural log of x

Problem

d()/d(x)*4*ln(x)

Solution

1. Identify the constant multiple rule, which states that the derivative of a constant times a function is the constant times the derivative of that function.

2. Apply the derivative rule for the natural logarithm, which is d(ln(x))/d(x)=1/x

3. Multiply the constant 4 by the derivative of the natural logarithm.

d()/d(x)*4*ln(x)=4⋅1/x

4. Simplify the resulting expression into a single fraction.

4/x

Final Answer

d()/d(x)*4*ln(x)=4/x

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