What is the derivative of [lnx]8? Calculus Differentiating Logarithmic Functions Differentiating Logarithmic Functions with Base e 1 Answer Guilherme N. Jan 9, 2016 We'll need chain rule here. Explanation: Chain rule states that dydx=dydududx Renaming u=lnx, we get f(x)=u8 df(x)dx=8u7(1x)=8(lnx)7x Answer link Related questions What is the derivative of f(x)=ln(g(x)) ? What is the derivative of f(x)=ln(x2+x) ? What is the derivative of f(x)=ln(ex+3) ? What is the derivative of f(x)=x⋅ln(x) ? What is the derivative of f(x)=e4x⋅ln(1−x) ? What is the derivative of f(x)=ln(x)x ? What is the derivative of f(x)=ln(cos(x)) ? What is the derivative of f(x)=ln(tan(x)) ? What is the derivative of f(x)=√1+ln(x) ? What is the derivative of f(x)=(ln(x))2 ? See all questions in Differentiating Logarithmic Functions with Base e Impact of this question 3931 views around the world You can reuse this answer Creative Commons License