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

Problem

(d(4)*ln(x))/d(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 constant multiple rule to move the 4 outside of the derivative.

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

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

4d(ln(x))/d(x)=4⋅1/x

4. Simplify the expression by multiplying the constant and the fraction.

4⋅1/x=4/x

Final Answer

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

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