T tinad New member Joined Jun 4, 2006 Messages 10 Jun 11, 2006 #1 Find the derivitive of f(x) = ln(x^4) Would the natural log stay the same and you find the derivitive of the (x^4)? Or is it as simple as 1/x^4 ?
Find the derivitive of f(x) = ln(x^4) Would the natural log stay the same and you find the derivitive of the (x^4)? Or is it as simple as 1/x^4 ?
skeeter Elite Member Joined Dec 15, 2005 Messages 3,204 Jun 11, 2006 #2 using the laws of logarithms ... ln(x<sup>4</sup>) = 4ln(x) the derivative would be 4/x.
E Euler Junior Member Joined Jun 28, 2005 Messages 102 Jun 12, 2006 #3 Or you could do it the long way, using the chain rule: \(\displaystyle \L\,ln(x^4)=\frac{1}{x^4}*\frac{4x^3}{1}=\frac{4}{x}\)
Or you could do it the long way, using the chain rule: \(\displaystyle \L\,ln(x^4)=\frac{1}{x^4}*\frac{4x^3}{1}=\frac{4}{x}\)
