$\\frac{d}{dx}12\\ln(x) =$
$\\frac{d}{dx}12\\ln(x) =$
Answer
Explanation:
Step1: Apply the constant multiple rule
The constant multiple rule states that if (y = k\cdot f(x)), then (y^\prime=k\cdot f^\prime(x)). Here (k = 12) and (f(x)=\ln(x)). So, (\frac{d}{dx}[12\ln(x)]=12\frac{d}{dx}[\ln(x)]).
Step2: Differentiate (\ln(x))
The derivative of (\ln(x)) with respect to (x) is (\frac{1}{x}). So, (12\frac{d}{dx}[\ln(x)] = 12\times\frac{1}{x}).
Answer:
(\frac{12}{x})